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Finding the Fourth Proportional to 417,490.11, 625,519.41 and 280,456.40

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Solution

The fourth proportional to 417,490.11, 625,519.41 and 280,456.40 is: 420,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,490.11 : 625,519.41 = 280,456.40 : x
  2. Step 2: Convert to fraction form
    417,490.11/625,519.41 = 280,456.40/x
  3. Step 3: Cross multiply
    417,490.11x = 625,519.41 × 280,456.40
  4. Step 4: Simplify right side
    417,490.11x = 175,430,918,731.13
  5. Step 5: Solve for x
    x = 175,430,918,731.13/417,490.11
  6. Step 6: Final answer
    x = 420,203.77

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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.