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Finding the Fourth Proportional to 317,727.95, 438,354.92 and 203,073.71

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Solution

The fourth proportional to 317,727.95, 438,354.92 and 203,073.71 is: 280,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,727.95 : 438,354.92 = 203,073.71 : x
  2. Step 2: Convert to fraction form
    317,727.95/438,354.92 = 203,073.71/x
  3. Step 3: Cross multiply
    317,727.95x = 438,354.92 × 203,073.71
  4. Step 4: Simplify right side
    317,727.95x = 89,018,356,694.01
  5. Step 5: Solve for x
    x = 89,018,356,694.01/317,727.95
  6. Step 6: Final answer
    x = 280,171.63

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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.