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Finding the Fourth Proportional to 287,818.65, 431,689.10 and 77,469.21

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Solution

The fourth proportional to 287,818.65, 431,689.10 and 77,469.21 is: 116,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,818.65 : 431,689.10 = 77,469.21 : x
  2. Step 2: Convert to fraction form
    287,818.65/431,689.10 = 77,469.21/x
  3. Step 3: Cross multiply
    287,818.65x = 431,689.10 × 77,469.21
  4. Step 4: Simplify right side
    287,818.65x = 33,442,613,155.27
  5. Step 5: Solve for x
    x = 33,442,613,155.27/287,818.65
  6. Step 6: Final answer
    x = 116,193.35

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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.