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Finding the Fourth Proportional to 312,778.52, 431,635.08 and 169,537.91

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Solution

The fourth proportional to 312,778.52, 431,635.08 and 169,537.91 is: 233,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.52 : 431,635.08 = 169,537.91 : x
  2. Step 2: Convert to fraction form
    312,778.52/431,635.08 = 169,537.91/x
  3. Step 3: Cross multiply
    312,778.52x = 431,635.08 × 169,537.91
  4. Step 4: Simplify right side
    312,778.52x = 73,178,508,498.19
  5. Step 5: Solve for x
    x = 73,178,508,498.19/312,778.52
  6. Step 6: Final answer
    x = 233,962.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.