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Finding the Fourth Proportional to 323,854.30, 485,781.45 and 311,412.70

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Solution

The fourth proportional to 323,854.30, 485,781.45 and 311,412.70 is: 467,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,854.30 : 485,781.45 = 311,412.70 : x
  2. Step 2: Convert to fraction form
    323,854.30/485,781.45 = 311,412.70/x
  3. Step 3: Cross multiply
    323,854.30x = 485,781.45 × 311,412.70
  4. Step 4: Simplify right side
    323,854.30x = 151,278,512,954.42
  5. Step 5: Solve for x
    x = 151,278,512,954.42/323,854.30
  6. Step 6: Final answer
    x = 467,119.05

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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.