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Finding the Fourth Proportional to 317,604.96, 438,306.12 and 174,375.90

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Solution

The fourth proportional to 317,604.96, 438,306.12 and 174,375.90 is: 240,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604.96 : 438,306.12 = 174,375.90 : x
  2. Step 2: Convert to fraction form
    317,604.96/438,306.12 = 174,375.90/x
  3. Step 3: Cross multiply
    317,604.96x = 438,306.12 × 174,375.90
  4. Step 4: Simplify right side
    317,604.96x = 76,430,024,150.51
  5. Step 5: Solve for x
    x = 76,430,024,150.51/317,604.96
  6. Step 6: Final answer
    x = 240,644.93

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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.