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Finding the Fourth Proportional to 813,727.20, 1,219,726.80 and 392,728.80

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Solution

The fourth proportional to 813,727.20, 1,219,726.80 and 392,728.80 is: 588,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,727.20 : 1,219,726.80 = 392,728.80 : x
  2. Step 2: Convert to fraction form
    813,727.20/1,219,726.80 = 392,728.80/x
  3. Step 3: Cross multiply
    813,727.20x = 1,219,726.80 × 392,728.80
  4. Step 4: Simplify right side
    813,727.20x = 479,021,842,491.84
  5. Step 5: Solve for x
    x = 479,021,842,491.84/813,727.20
  6. Step 6: Final answer
    x = 588,676.21

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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.