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Finding the Fourth Proportional to 317,748.92, 438,491.81 and 172,553.43

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Solution

The fourth proportional to 317,748.92, 438,491.81 and 172,553.43 is: 238,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,748.92 : 438,491.81 = 172,553.43 : x
  2. Step 2: Convert to fraction form
    317,748.92/438,491.81 = 172,553.43/x
  3. Step 3: Cross multiply
    317,748.92x = 438,491.81 × 172,553.43
  4. Step 4: Simplify right side
    317,748.92x = 75,663,268,241.67
  5. Step 5: Solve for x
    x = 75,663,268,241.67/317,748.92
  6. Step 6: Final answer
    x = 238,122.82

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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.