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Finding the Fourth Proportional to 520,419.62, 780,462.22 and 165,350.65

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Solution

The fourth proportional to 520,419.62, 780,462.22 and 165,350.65 is: 247,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,419.62 : 780,462.22 = 165,350.65 : x
  2. Step 2: Convert to fraction form
    520,419.62/780,462.22 = 165,350.65/x
  3. Step 3: Cross multiply
    520,419.62x = 780,462.22 × 165,350.65
  4. Step 4: Simplify right side
    520,419.62x = 129,049,935,377.44
  5. Step 5: Solve for x
    x = 129,049,935,377.44/520,419.62
  6. Step 6: Final answer
    x = 247,972.85

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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.