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Finding the Fourth Proportional to 312,943.68, 431,862.21 and 169,704

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Solution

The fourth proportional to 312,943.68, 431,862.21 and 169,704 is: 234,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,943.68 : 431,862.21 = 169,704 : x
  2. Step 2: Convert to fraction form
    312,943.68/431,862.21 = 169,704/x
  3. Step 3: Cross multiply
    312,943.68x = 431,862.21 × 169,704
  4. Step 4: Simplify right side
    312,943.68x = 73,288,744,485.84
  5. Step 5: Solve for x
    x = 73,288,744,485.84/312,943.68
  6. Step 6: Final answer
    x = 234,191.48

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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.