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Finding the Fourth Proportional to 410,811.80, 616,217.70 and 144,872.60

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Solution

The fourth proportional to 410,811.80, 616,217.70 and 144,872.60 is: 217,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,811.80 : 616,217.70 = 144,872.60 : x
  2. Step 2: Convert to fraction form
    410,811.80/616,217.70 = 144,872.60/x
  3. Step 3: Cross multiply
    410,811.80x = 616,217.70 × 144,872.60
  4. Step 4: Simplify right side
    410,811.80x = 89,273,060,365.02
  5. Step 5: Solve for x
    x = 89,273,060,365.02/410,811.80
  6. Step 6: Final answer
    x = 217,308.90

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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.