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Finding the Fourth Proportional to 361,918.20, 542,877.30 and 272,105.40

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Solution

The fourth proportional to 361,918.20, 542,877.30 and 272,105.40 is: 408,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,918.20 : 542,877.30 = 272,105.40 : x
  2. Step 2: Convert to fraction form
    361,918.20/542,877.30 = 272,105.40/x
  3. Step 3: Cross multiply
    361,918.20x = 542,877.30 × 272,105.40
  4. Step 4: Simplify right side
    361,918.20x = 147,719,844,867.42
  5. Step 5: Solve for x
    x = 147,719,844,867.42/361,918.20
  6. Step 6: Final answer
    x = 408,158.10

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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.