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Finding the Fourth Proportional to 522,081.90, 783,122.85 and 433,512.30

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Solution

The fourth proportional to 522,081.90, 783,122.85 and 433,512.30 is: 650,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,081.90 : 783,122.85 = 433,512.30 : x
  2. Step 2: Convert to fraction form
    522,081.90/783,122.85 = 433,512.30/x
  3. Step 3: Cross multiply
    522,081.90x = 783,122.85 × 433,512.30
  4. Step 4: Simplify right side
    522,081.90x = 339,493,387,886.06
  5. Step 5: Solve for x
    x = 339,493,387,886.06/522,081.90
  6. Step 6: Final answer
    x = 650,268.45

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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.