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Finding the Fourth Proportional to 388,454.88, 582,198.32 and 138,862.56

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Solution

The fourth proportional to 388,454.88, 582,198.32 and 138,862.56 is: 208,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,454.88 : 582,198.32 = 138,862.56 : x
  2. Step 2: Convert to fraction form
    388,454.88/582,198.32 = 138,862.56/x
  3. Step 3: Cross multiply
    388,454.88x = 582,198.32 × 138,862.56
  4. Step 4: Simplify right side
    388,454.88x = 80,845,549,142.90
  5. Step 5: Solve for x
    x = 80,845,549,142.90/388,454.88
  6. Step 6: Final answer
    x = 208,120.82

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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.