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Finding the Fourth Proportional to 312,632.46, 431,432.90 and 169,392.53

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Solution

The fourth proportional to 312,632.46, 431,432.90 and 169,392.53 is: 233,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,632.46 : 431,432.90 = 169,392.53 : x
  2. Step 2: Convert to fraction form
    312,632.46/431,432.90 = 169,392.53/x
  3. Step 3: Cross multiply
    312,632.46x = 431,432.90 × 169,392.53
  4. Step 4: Simplify right side
    312,632.46x = 73,081,511,323.08
  5. Step 5: Solve for x
    x = 73,081,511,323.08/312,632.46
  6. Step 6: Final answer
    x = 233,761.75

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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.