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Finding the Fourth Proportional to 361,881.09, 542,739.02 and 137,266.47

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Solution

The fourth proportional to 361,881.09, 542,739.02 and 137,266.47 is: 205,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,881.09 : 542,739.02 = 137,266.47 : x
  2. Step 2: Convert to fraction form
    361,881.09/542,739.02 = 137,266.47/x
  3. Step 3: Cross multiply
    361,881.09x = 542,739.02 × 137,266.47
  4. Step 4: Simplify right side
    361,881.09x = 74,499,868,720.33
  5. Step 5: Solve for x
    x = 74,499,868,720.33/361,881.09
  6. Step 6: Final answer
    x = 205,868.37

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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.