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Finding the Fourth Proportional to 285,376.38, 428,064.57 and 75,013.98

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Solution

The fourth proportional to 285,376.38, 428,064.57 and 75,013.98 is: 112,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,376.38 : 428,064.57 = 75,013.98 : x
  2. Step 2: Convert to fraction form
    285,376.38/428,064.57 = 75,013.98/x
  3. Step 3: Cross multiply
    285,376.38x = 428,064.57 × 75,013.98
  4. Step 4: Simplify right side
    285,376.38x = 32,110,827,092.69
  5. Step 5: Solve for x
    x = 32,110,827,092.69/285,376.38
  6. Step 6: Final answer
    x = 112,520.97

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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.