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Finding the Fourth Proportional to 522,048.30, 783,072.45 and 321,719.10

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Solution

The fourth proportional to 522,048.30, 783,072.45 and 321,719.10 is: 482,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,048.30 : 783,072.45 = 321,719.10 : x
  2. Step 2: Convert to fraction form
    522,048.30/783,072.45 = 321,719.10/x
  3. Step 3: Cross multiply
    522,048.30x = 783,072.45 × 321,719.10
  4. Step 4: Simplify right side
    522,048.30x = 251,929,363,848.80
  5. Step 5: Solve for x
    x = 251,929,363,848.80/522,048.30
  6. Step 6: Final answer
    x = 482,578.65

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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.