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Finding the Fourth Proportional to 317,456.50, 438,076.18 and 174,218.94

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Solution

The fourth proportional to 317,456.50, 438,076.18 and 174,218.94 is: 240,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,456.50 : 438,076.18 = 174,218.94 : x
  2. Step 2: Convert to fraction form
    317,456.50/438,076.18 = 174,218.94/x
  3. Step 3: Cross multiply
    317,456.50x = 438,076.18 × 174,218.94
  4. Step 4: Simplify right side
    317,456.50x = 76,321,167,718.85
  5. Step 5: Solve for x
    x = 76,321,167,718.85/317,456.50
  6. Step 6: Final answer
    x = 240,414.57

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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.