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Finding the Fourth Proportional to 410,220.70, 615,331.05 and 291,247.90

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Solution

The fourth proportional to 410,220.70, 615,331.05 and 291,247.90 is: 436,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,220.70 : 615,331.05 = 291,247.90 : x
  2. Step 2: Convert to fraction form
    410,220.70/615,331.05 = 291,247.90/x
  3. Step 3: Cross multiply
    410,220.70x = 615,331.05 × 291,247.90
  4. Step 4: Simplify right side
    410,220.70x = 179,213,876,117.30
  5. Step 5: Solve for x
    x = 179,213,876,117.30/410,220.70
  6. Step 6: Final answer
    x = 436,871.85

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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.