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Finding the Fourth Proportional to 726,726.50, 1,001,843.22 and 511,197.62

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Solution

The fourth proportional to 726,726.50, 1,001,843.22 and 511,197.62 is: 704,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,726.50 : 1,001,843.22 = 511,197.62 : x
  2. Step 2: Convert to fraction form
    726,726.50/1,001,843.22 = 511,197.62/x
  3. Step 3: Cross multiply
    726,726.50x = 1,001,843.22 × 511,197.62
  4. Step 4: Simplify right side
    726,726.50x = 512,139,869,677.14
  5. Step 5: Solve for x
    x = 512,139,869,677.14/726,726.50
  6. Step 6: Final answer
    x = 704,721.61

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1.5x scale

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.