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Finding the Fourth Proportional to 312,872.52, 431,760.06 and 169,632.12

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Solution

The fourth proportional to 312,872.52, 431,760.06 and 169,632.12 is: 234,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,872.52 : 431,760.06 = 169,632.12 : x
  2. Step 2: Convert to fraction form
    312,872.52/431,760.06 = 169,632.12/x
  3. Step 3: Cross multiply
    312,872.52x = 431,760.06 × 169,632.12
  4. Step 4: Simplify right side
    312,872.52x = 73,240,374,309.13
  5. Step 5: Solve for x
    x = 73,240,374,309.13/312,872.52
  6. Step 6: Final answer
    x = 234,090.15

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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.