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Finding the Fourth Proportional to 409,976.20, 614,964.30 and 251,691.40

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Solution

The fourth proportional to 409,976.20, 614,964.30 and 251,691.40 is: 377,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,976.20 : 614,964.30 = 251,691.40 : x
  2. Step 2: Convert to fraction form
    409,976.20/614,964.30 = 251,691.40/x
  3. Step 3: Cross multiply
    409,976.20x = 614,964.30 × 251,691.40
  4. Step 4: Simplify right side
    409,976.20x = 154,781,225,617.02
  5. Step 5: Solve for x
    x = 154,781,225,617.02/409,976.20
  6. Step 6: Final answer
    x = 377,537.10

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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.