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Finding the Fourth Proportional to 288,780.62, 398,357.28 and 167,908.54

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Solution

The fourth proportional to 288,780.62, 398,357.28 and 167,908.54 is: 231,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,780.62 : 398,357.28 = 167,908.54 : x
  2. Step 2: Convert to fraction form
    288,780.62/398,357.28 = 167,908.54/x
  3. Step 3: Cross multiply
    288,780.62x = 398,357.28 × 167,908.54
  4. Step 4: Simplify right side
    288,780.62x = 66,887,589,283.17
  5. Step 5: Solve for x
    x = 66,887,589,283.17/288,780.62
  6. Step 6: Final answer
    x = 231,620.77

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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.