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Finding the Fourth Proportional to 522,000.30, 783,000.45 and 312,048.30

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Solution

The fourth proportional to 522,000.30, 783,000.45 and 312,048.30 is: 468,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,000.30 : 783,000.45 = 312,048.30 : x
  2. Step 2: Convert to fraction form
    522,000.30/783,000.45 = 312,048.30/x
  3. Step 3: Cross multiply
    522,000.30x = 783,000.45 × 312,048.30
  4. Step 4: Simplify right side
    522,000.30x = 244,333,959,321.74
  5. Step 5: Solve for x
    x = 244,333,959,321.74/522,000.30
  6. Step 6: Final answer
    x = 468,072.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.