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Finding the Fourth Proportional to 754,920, 1,041,796.89 and 415,395.54

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Solution

The fourth proportional to 754,920, 1,041,796.89 and 415,395.54 is: 573,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,920 : 1,041,796.89 = 415,395.54 : x
  2. Step 2: Convert to fraction form
    754,920/1,041,796.89 = 415,395.54/x
  3. Step 3: Cross multiply
    754,920x = 1,041,796.89 × 415,395.54
  4. Step 4: Simplify right side
    754,920x = 432,757,781,691.87
  5. Step 5: Solve for x
    x = 432,757,781,691.87/754,920
  6. Step 6: Final answer
    x = 573,249.86

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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.