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Finding the Fourth Proportional to 252,665,863.80, 378,998,795.70 and 169,442,203.20

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Solution

The fourth proportional to 252,665,863.80, 378,998,795.70 and 169,442,203.20 is: 254,163,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,665,863.80 : 378,998,795.70 = 169,442,203.20 : x
  2. Step 2: Convert to fraction form
    252,665,863.80/378,998,795.70 = 169,442,203.20/x
  3. Step 3: Cross multiply
    252,665,863.80x = 378,998,795.70 × 169,442,203.20
  4. Step 4: Simplify right side
    252,665,863.80x = 64,218,390,953,554,680
  5. Step 5: Solve for x
    x = 64,218,390,953,554,680/252,665,863.80
  6. Step 6: Final answer
    x = 254,163,304.80

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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.