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Finding the Fourth Proportional to 285,909.20, 428,863.79 and 98,920.70

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Solution

The fourth proportional to 285,909.20, 428,863.79 and 98,920.70 is: 148,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,909.20 : 428,863.79 = 98,920.70 : x
  2. Step 2: Convert to fraction form
    285,909.20/428,863.79 = 98,920.70/x
  3. Step 3: Cross multiply
    285,909.20x = 428,863.79 × 98,920.70
  4. Step 4: Simplify right side
    285,909.20x = 42,423,503,672.53
  5. Step 5: Solve for x
    x = 42,423,503,672.53/285,909.20
  6. Step 6: Final answer
    x = 148,381.04

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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.