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Finding the Fourth Proportional to 312,920.88, 431,829.68 and 169,680.56

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Solution

The fourth proportional to 312,920.88, 431,829.68 and 169,680.56 is: 234,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,920.88 : 431,829.68 = 169,680.56 : x
  2. Step 2: Convert to fraction form
    312,920.88/431,829.68 = 169,680.56/x
  3. Step 3: Cross multiply
    312,920.88x = 431,829.68 × 169,680.56
  4. Step 4: Simplify right side
    312,920.88x = 73,273,101,927.02
  5. Step 5: Solve for x
    x = 73,273,101,927.02/312,920.88
  6. Step 6: Final answer
    x = 234,158.56

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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.