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Finding the Fourth Proportional to 410,306.45, 615,398.12 and 129,787.25

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Solution

The fourth proportional to 410,306.45, 615,398.12 and 129,787.25 is: 194,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,306.45 : 615,398.12 = 129,787.25 : x
  2. Step 2: Convert to fraction form
    410,306.45/615,398.12 = 129,787.25/x
  3. Step 3: Cross multiply
    410,306.45x = 615,398.12 × 129,787.25
  4. Step 4: Simplify right side
    410,306.45x = 79,870,829,001.03
  5. Step 5: Solve for x
    x = 79,870,829,001.03/410,306.45
  6. Step 6: Final answer
    x = 194,661.40

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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.