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Finding the Fourth Proportional to 287,930.29, 431,978.43 and 88,280.14

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Solution

The fourth proportional to 287,930.29, 431,978.43 and 88,280.14 is: 132,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,930.29 : 431,978.43 = 88,280.14 : x
  2. Step 2: Convert to fraction form
    287,930.29/431,978.43 = 88,280.14/x
  3. Step 3: Cross multiply
    287,930.29x = 431,978.43 × 88,280.14
  4. Step 4: Simplify right side
    287,930.29x = 38,135,114,117.49
  5. Step 5: Solve for x
    x = 38,135,114,117.49/287,930.29
  6. Step 6: Final answer
    x = 132,445.65

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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.