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Finding the Fourth Proportional to 317,834.61, 438,609.74 and 172,638.90

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Solution

The fourth proportional to 317,834.61, 438,609.74 and 172,638.90 is: 238,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,834.61 : 438,609.74 = 172,638.90 : x
  2. Step 2: Convert to fraction form
    317,834.61/438,609.74 = 172,638.90/x
  3. Step 3: Cross multiply
    317,834.61x = 438,609.74 × 172,638.90
  4. Step 4: Simplify right side
    317,834.61x = 75,721,103,375.35
  5. Step 5: Solve for x
    x = 75,721,103,375.35/317,834.61
  6. Step 6: Final answer
    x = 238,240.59

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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.