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Finding the Fourth Proportional to 287,613.20, 431,419.80 and 130,149.20

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Solution

The fourth proportional to 287,613.20, 431,419.80 and 130,149.20 is: 195,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,613.20 : 431,419.80 = 130,149.20 : x
  2. Step 2: Convert to fraction form
    287,613.20/431,419.80 = 130,149.20/x
  3. Step 3: Cross multiply
    287,613.20x = 431,419.80 × 130,149.20
  4. Step 4: Simplify right side
    287,613.20x = 56,148,941,834.16
  5. Step 5: Solve for x
    x = 56,148,941,834.16/287,613.20
  6. Step 6: Final answer
    x = 195,223.80

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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.