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Finding the Fourth Proportional to 409,909.20, 614,287.80 and 325,813.20

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Solution

The fourth proportional to 409,909.20, 614,287.80 and 325,813.20 is: 488,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,909.20 : 614,287.80 = 325,813.20 : x
  2. Step 2: Convert to fraction form
    409,909.20/614,287.80 = 325,813.20/x
  3. Step 3: Cross multiply
    409,909.20x = 614,287.80 × 325,813.20
  4. Step 4: Simplify right side
    409,909.20x = 200,143,073,838.96
  5. Step 5: Solve for x
    x = 200,143,073,838.96/409,909.20
  6. Step 6: Final answer
    x = 488,261.97

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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.