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Finding the Fourth Proportional to 312,489.46, 431,235.07 and 169,250.10

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Solution

The fourth proportional to 312,489.46, 431,235.07 and 169,250.10 is: 233,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,489.46 : 431,235.07 = 169,250.10 : x
  2. Step 2: Convert to fraction form
    312,489.46/431,235.07 = 169,250.10/x
  3. Step 3: Cross multiply
    312,489.46x = 431,235.07 × 169,250.10
  4. Step 4: Simplify right side
    312,489.46x = 72,986,578,721.01
  5. Step 5: Solve for x
    x = 72,986,578,721.01/312,489.46
  6. Step 6: Final answer
    x = 233,564.93

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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.