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Finding the Fourth Proportional to 312,470.56, 431,209.24 and 169,230.61

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Solution

The fourth proportional to 312,470.56, 431,209.24 and 169,230.61 is: 233,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,470.56 : 431,209.24 = 169,230.61 : x
  2. Step 2: Convert to fraction form
    312,470.56/431,209.24 = 169,230.61/x
  3. Step 3: Cross multiply
    312,470.56x = 431,209.24 × 169,230.61
  4. Step 4: Simplify right side
    312,470.56x = 72,973,802,722.84
  5. Step 5: Solve for x
    x = 72,973,802,722.84/312,470.56
  6. Step 6: Final answer
    x = 233,538.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.