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Finding the Fourth Proportional to 409,764.60, 614,428.20 and 172,839.60

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Solution

The fourth proportional to 409,764.60, 614,428.20 and 172,839.60 is: 259,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,764.60 : 614,428.20 = 172,839.60 : x
  2. Step 2: Convert to fraction form
    409,764.60/614,428.20 = 172,839.60/x
  3. Step 3: Cross multiply
    409,764.60x = 614,428.20 × 172,839.60
  4. Step 4: Simplify right side
    409,764.60x = 106,197,524,316.72
  5. Step 5: Solve for x
    x = 106,197,524,316.72/409,764.60
  6. Step 6: Final answer
    x = 259,167.15

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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.