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Finding the Fourth Proportional to 361,284.88, 542,003.40 and 136,640.30

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Solution

The fourth proportional to 361,284.88, 542,003.40 and 136,640.30 is: 204,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,284.88 : 542,003.40 = 136,640.30 : x
  2. Step 2: Convert to fraction form
    361,284.88/542,003.40 = 136,640.30/x
  3. Step 3: Cross multiply
    361,284.88x = 542,003.40 × 136,640.30
  4. Step 4: Simplify right side
    361,284.88x = 74,059,507,177.02
  5. Step 5: Solve for x
    x = 74,059,507,177.02/361,284.88
  6. Step 6: Final answer
    x = 204,989.22

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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.