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Finding the Fourth Proportional to 529,140.36, 730,192.68 and 287,418

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Solution

The fourth proportional to 529,140.36, 730,192.68 and 287,418 is: 396,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,140.36 : 730,192.68 = 287,418 : x
  2. Step 2: Convert to fraction form
    529,140.36/730,192.68 = 287,418/x
  3. Step 3: Cross multiply
    529,140.36x = 730,192.68 × 287,418
  4. Step 4: Simplify right side
    529,140.36x = 209,870,519,700.24
  5. Step 5: Solve for x
    x = 209,870,519,700.24/529,140.36
  6. Step 6: Final answer
    x = 396,625.42

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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.