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Finding the Fourth Proportional to 409,839.60, 614,103.30 and 269,434.20

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Solution

The fourth proportional to 409,839.60, 614,103.30 and 269,434.20 is: 403,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,839.60 : 614,103.30 = 269,434.20 : x
  2. Step 2: Convert to fraction form
    409,839.60/614,103.30 = 269,434.20/x
  3. Step 3: Cross multiply
    409,839.60x = 614,103.30 × 269,434.20
  4. Step 4: Simplify right side
    409,839.60x = 165,460,431,352.86
  5. Step 5: Solve for x
    x = 165,460,431,352.86/409,839.60
  6. Step 6: Final answer
    x = 403,719.97

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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.