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Finding the Fourth Proportional to 361,561.40, 542,264.25 and 148,120.02

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Solution

The fourth proportional to 361,561.40, 542,264.25 and 148,120.02 is: 222,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,561.40 : 542,264.25 = 148,120.02 : x
  2. Step 2: Convert to fraction form
    361,561.40/542,264.25 = 148,120.02/x
  3. Step 3: Cross multiply
    361,561.40x = 542,264.25 × 148,120.02
  4. Step 4: Simplify right side
    361,561.40x = 80,320,189,335.85
  5. Step 5: Solve for x
    x = 80,320,189,335.85/361,561.40
  6. Step 6: Final answer
    x = 222,148.13

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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.