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Finding the Fourth Proportional to 485,221.96, 727,963.99 and 148,253.43

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Solution

The fourth proportional to 485,221.96, 727,963.99 and 148,253.43 is: 222,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,221.96 : 727,963.99 = 148,253.43 : x
  2. Step 2: Convert to fraction form
    485,221.96/727,963.99 = 148,253.43/x
  3. Step 3: Cross multiply
    485,221.96x = 727,963.99 × 148,253.43
  4. Step 4: Simplify right side
    485,221.96x = 107,923,155,872.81
  5. Step 5: Solve for x
    x = 107,923,155,872.81/485,221.96
  6. Step 6: Final answer
    x = 222,420.18

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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.