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Finding the Fourth Proportional to 726,672, 1,002,807.36 and 408,720

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Solution

The fourth proportional to 726,672, 1,002,807.36 and 408,720 is: 564,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,672 : 1,002,807.36 = 408,720 : x
  2. Step 2: Convert to fraction form
    726,672/1,002,807.36 = 408,720/x
  3. Step 3: Cross multiply
    726,672x = 1,002,807.36 × 408,720
  4. Step 4: Simplify right side
    726,672x = 409,867,424,179.20
  5. Step 5: Solve for x
    x = 409,867,424,179.20/726,672
  6. Step 6: Final answer
    x = 564,033.60

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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.