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Finding the Fourth Proportional to 361,588.83, 542,419.37 and 133,945.70

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Solution

The fourth proportional to 361,588.83, 542,419.37 and 133,945.70 is: 200,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,588.83 : 542,419.37 = 133,945.70 : x
  2. Step 2: Convert to fraction form
    361,588.83/542,419.37 = 133,945.70/x
  3. Step 3: Cross multiply
    361,588.83x = 542,419.37 × 133,945.70
  4. Step 4: Simplify right side
    361,588.83x = 72,654,742,379.79
  5. Step 5: Solve for x
    x = 72,654,742,379.79/361,588.83
  6. Step 6: Final answer
    x = 200,931.93

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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.