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Finding the Fourth Proportional to 471,908.72, 707,601.92 and 187,310.96

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Solution

The fourth proportional to 471,908.72, 707,601.92 and 187,310.96 is: 280,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,908.72 : 707,601.92 = 187,310.96 : x
  2. Step 2: Convert to fraction form
    471,908.72/707,601.92 = 187,310.96/x
  3. Step 3: Cross multiply
    471,908.72x = 707,601.92 × 187,310.96
  4. Step 4: Simplify right side
    471,908.72x = 132,541,594,933.04
  5. Step 5: Solve for x
    x = 132,541,594,933.04/471,908.72
  6. Step 6: Final answer
    x = 280,862.78

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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.