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Finding the Fourth Proportional to 285,614.70, 428,011.65 and 160,691.82

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Solution

The fourth proportional to 285,614.70, 428,011.65 and 160,691.82 is: 240,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.70 : 428,011.65 = 160,691.82 : x
  2. Step 2: Convert to fraction form
    285,614.70/428,011.65 = 160,691.82/x
  3. Step 3: Cross multiply
    285,614.70x = 428,011.65 × 160,691.82
  4. Step 4: Simplify right side
    285,614.70x = 68,777,971,019.70
  5. Step 5: Solve for x
    x = 68,777,971,019.70/285,614.70
  6. Step 6: Final answer
    x = 240,806.83

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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.