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Finding the Fourth Proportional to 285,785.72, 428,678.78 and 72,569.62

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Solution

The fourth proportional to 285,785.72, 428,678.78 and 72,569.62 is: 108,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,785.72 : 428,678.78 = 72,569.62 : x
  2. Step 2: Convert to fraction form
    285,785.72/428,678.78 = 72,569.62/x
  3. Step 3: Cross multiply
    285,785.72x = 428,678.78 × 72,569.62
  4. Step 4: Simplify right side
    285,785.72x = 31,109,056,747.87
  5. Step 5: Solve for x
    x = 31,109,056,747.87/285,785.72
  6. Step 6: Final answer
    x = 108,854.48

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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.