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Finding the Fourth Proportional to 726,671, 1,002,805.98 and 408,719

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Solution

The fourth proportional to 726,671, 1,002,805.98 and 408,719 is: 564,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,671 : 1,002,805.98 = 408,719 : x
  2. Step 2: Convert to fraction form
    726,671/1,002,805.98 = 408,719/x
  3. Step 3: Cross multiply
    726,671x = 1,002,805.98 × 408,719
  4. Step 4: Simplify right side
    726,671x = 409,865,857,339.62
  5. Step 5: Solve for x
    x = 409,865,857,339.62/726,671
  6. Step 6: Final answer
    x = 564,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.