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Finding the Fourth Proportional to 409,892.40, 614,857.05 and 125,562.20

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Solution

The fourth proportional to 409,892.40, 614,857.05 and 125,562.20 is: 188,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,892.40 : 614,857.05 = 125,562.20 : x
  2. Step 2: Convert to fraction form
    409,892.40/614,857.05 = 125,562.20/x
  3. Step 3: Cross multiply
    409,892.40x = 614,857.05 × 125,562.20
  4. Step 4: Simplify right side
    409,892.40x = 77,202,800,809.22
  5. Step 5: Solve for x
    x = 77,202,800,809.22/409,892.40
  6. Step 6: Final answer
    x = 188,348.94

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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.