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Finding the Fourth Proportional to 529,057.50, 730,104.71 and 287,344.80

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Solution

The fourth proportional to 529,057.50, 730,104.71 and 287,344.80 is: 396,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,057.50 : 730,104.71 = 287,344.80 : x
  2. Step 2: Convert to fraction form
    529,057.50/730,104.71 = 287,344.80/x
  3. Step 3: Cross multiply
    529,057.50x = 730,104.71 × 287,344.80
  4. Step 4: Simplify right side
    529,057.50x = 209,791,790,437.28
  5. Step 5: Solve for x
    x = 209,791,790,437.28/529,057.50
  6. Step 6: Final answer
    x = 396,538.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.