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Finding the Fourth Proportional to 270,470.24, 405,700.32 and 80,930.72

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Solution

The fourth proportional to 270,470.24, 405,700.32 and 80,930.72 is: 121,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,470.24 : 405,700.32 = 80,930.72 : x
  2. Step 2: Convert to fraction form
    270,470.24/405,700.32 = 80,930.72/x
  3. Step 3: Cross multiply
    270,470.24x = 405,700.32 × 80,930.72
  4. Step 4: Simplify right side
    270,470.24x = 32,833,619,001.83
  5. Step 5: Solve for x
    x = 32,833,619,001.83/270,470.24
  6. Step 6: Final answer
    x = 121,394.57

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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.