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Finding the Fourth Proportional to 541,589.04, 747,067.32 and 398,718

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Solution

The fourth proportional to 541,589.04, 747,067.32 and 398,718 is: 549,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,589.04 : 747,067.32 = 398,718 : x
  2. Step 2: Convert to fraction form
    541,589.04/747,067.32 = 398,718/x
  3. Step 3: Cross multiply
    541,589.04x = 747,067.32 × 398,718
  4. Step 4: Simplify right side
    541,589.04x = 297,869,187,695.76
  5. Step 5: Solve for x
    x = 297,869,187,695.76/541,589.04
  6. Step 6: Final answer
    x = 549,991.17

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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.