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Finding the Fourth Proportional to 284,785.79, 427,115.34 and 82,337.69

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Solution

The fourth proportional to 284,785.79, 427,115.34 and 82,337.69 is: 123,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,785.79 : 427,115.34 = 82,337.69 : x
  2. Step 2: Convert to fraction form
    284,785.79/427,115.34 = 82,337.69/x
  3. Step 3: Cross multiply
    284,785.79x = 427,115.34 × 82,337.69
  4. Step 4: Simplify right side
    284,785.79x = 35,167,690,459.16
  5. Step 5: Solve for x
    x = 35,167,690,459.16/284,785.79
  6. Step 6: Final answer
    x = 123,488.22

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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.