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Finding the Fourth Proportional to 394,472.40, 591,708.60 and 145,251.60

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Solution

The fourth proportional to 394,472.40, 591,708.60 and 145,251.60 is: 217,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,472.40 : 591,708.60 = 145,251.60 : x
  2. Step 2: Convert to fraction form
    394,472.40/591,708.60 = 145,251.60/x
  3. Step 3: Cross multiply
    394,472.40x = 591,708.60 × 145,251.60
  4. Step 4: Simplify right side
    394,472.40x = 85,946,620,883.76
  5. Step 5: Solve for x
    x = 85,946,620,883.76/394,472.40
  6. Step 6: Final answer
    x = 217,877.40

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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.