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Finding the Fourth Proportional to 285,423,613.60, 428,135,420.40 and 252,545,130.40

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Solution

The fourth proportional to 285,423,613.60, 428,135,420.40 and 252,545,130.40 is: 378,817,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,423,613.60 : 428,135,420.40 = 252,545,130.40 : x
  2. Step 2: Convert to fraction form
    285,423,613.60/428,135,420.40 = 252,545,130.40/x
  3. Step 3: Cross multiply
    285,423,613.60x = 428,135,420.40 × 252,545,130.40
  4. Step 4: Simplify right side
    285,423,613.60x = 108,123,515,573,776,816
  5. Step 5: Solve for x
    x = 108,123,515,573,776,816/285,423,613.60
  6. Step 6: Final answer
    x = 378,817,695.60

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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.