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Finding the Fourth Proportional to 726,675, 1,002,811.50 and 408,723

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Solution

The fourth proportional to 726,675, 1,002,811.50 and 408,723 is: 564,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,675 : 1,002,811.50 = 408,723 : x
  2. Step 2: Convert to fraction form
    726,675/1,002,811.50 = 408,723/x
  3. Step 3: Cross multiply
    726,675x = 1,002,811.50 × 408,723
  4. Step 4: Simplify right side
    726,675x = 409,872,124,714.50
  5. Step 5: Solve for x
    x = 409,872,124,714.50/726,675
  6. Step 6: Final answer
    x = 564,037.74

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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.