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Finding the Fourth Proportional to 409,423.38, 614,134.98 and 159,930.42

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Solution

The fourth proportional to 409,423.38, 614,134.98 and 159,930.42 is: 239,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,423.38 : 614,134.98 = 159,930.42 : x
  2. Step 2: Convert to fraction form
    409,423.38/614,134.98 = 159,930.42/x
  3. Step 3: Cross multiply
    409,423.38x = 614,134.98 × 159,930.42
  4. Step 4: Simplify right side
    409,423.38x = 98,218,865,288.09
  5. Step 5: Solve for x
    x = 98,218,865,288.09/409,423.38
  6. Step 6: Final answer
    x = 239,895.59

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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.