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Finding the Fourth Proportional to 410,129.20, 614,617.80 and 326,033.20

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Solution

The fourth proportional to 410,129.20, 614,617.80 and 326,033.20 is: 488,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,129.20 : 614,617.80 = 326,033.20 : x
  2. Step 2: Convert to fraction form
    410,129.20/614,617.80 = 326,033.20/x
  3. Step 3: Cross multiply
    410,129.20x = 614,617.80 × 326,033.20
  4. Step 4: Simplify right side
    410,129.20x = 200,385,808,110.96
  5. Step 5: Solve for x
    x = 200,385,808,110.96/410,129.20
  6. Step 6: Final answer
    x = 488,591.91

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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.