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Finding the Fourth Proportional to 270,432.27, 405,658.73 and 80,895.31

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Solution

The fourth proportional to 270,432.27, 405,658.73 and 80,895.31 is: 121,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,432.27 : 405,658.73 = 80,895.31 : x
  2. Step 2: Convert to fraction form
    270,432.27/405,658.73 = 80,895.31/x
  3. Step 3: Cross multiply
    270,432.27x = 405,658.73 × 80,895.31
  4. Step 4: Simplify right side
    270,432.27x = 32,815,887,905.65
  5. Step 5: Solve for x
    x = 32,815,887,905.65/270,432.27
  6. Step 6: Final answer
    x = 121,346.05

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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.