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Finding the Fourth Proportional to 312,114.60, 468,171.90 and 275,956.20

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Solution

The fourth proportional to 312,114.60, 468,171.90 and 275,956.20 is: 413,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,114.60 : 468,171.90 = 275,956.20 : x
  2. Step 2: Convert to fraction form
    312,114.60/468,171.90 = 275,956.20/x
  3. Step 3: Cross multiply
    312,114.60x = 468,171.90 × 275,956.20
  4. Step 4: Simplify right side
    312,114.60x = 129,194,938,470.78
  5. Step 5: Solve for x
    x = 129,194,938,470.78/312,114.60
  6. Step 6: Final answer
    x = 413,934.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.