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Finding the Fourth Proportional to 285,278.71, 427,959.79 and 85,614.87

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Solution

The fourth proportional to 285,278.71, 427,959.79 and 85,614.87 is: 128,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,278.71 : 427,959.79 = 85,614.87 : x
  2. Step 2: Convert to fraction form
    285,278.71/427,959.79 = 85,614.87/x
  3. Step 3: Cross multiply
    285,278.71x = 427,959.79 × 85,614.87
  4. Step 4: Simplify right side
    285,278.71x = 36,639,723,176.89
  5. Step 5: Solve for x
    x = 36,639,723,176.89/285,278.71
  6. Step 6: Final answer
    x = 128,434.83

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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.