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Finding the Fourth Proportional to 290,539.89, 435,834.90 and 80,177.79

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Solution

The fourth proportional to 290,539.89, 435,834.90 and 80,177.79 is: 120,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,539.89 : 435,834.90 = 80,177.79 : x
  2. Step 2: Convert to fraction form
    290,539.89/435,834.90 = 80,177.79/x
  3. Step 3: Cross multiply
    290,539.89x = 435,834.90 × 80,177.79
  4. Step 4: Simplify right side
    290,539.89x = 34,944,279,086.87
  5. Step 5: Solve for x
    x = 34,944,279,086.87/290,539.89
  6. Step 6: Final answer
    x = 120,273.60

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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.