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Finding the Fourth Proportional to 317,474.88, 438,101.28 and 174,235.20

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Solution

The fourth proportional to 317,474.88, 438,101.28 and 174,235.20 is: 240,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,474.88 : 438,101.28 = 174,235.20 : x
  2. Step 2: Convert to fraction form
    317,474.88/438,101.28 = 174,235.20/x
  3. Step 3: Cross multiply
    317,474.88x = 438,101.28 × 174,235.20
  4. Step 4: Simplify right side
    317,474.88x = 76,332,664,141.06
  5. Step 5: Solve for x
    x = 76,332,664,141.06/317,474.88
  6. Step 6: Final answer
    x = 240,436.86

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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.