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Finding the Fourth Proportional to 288,179.64, 397,686.92 and 160,854.12

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Solution

The fourth proportional to 288,179.64, 397,686.92 and 160,854.12 is: 221,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,179.64 : 397,686.92 = 160,854.12 : x
  2. Step 2: Convert to fraction form
    288,179.64/397,686.92 = 160,854.12/x
  3. Step 3: Cross multiply
    288,179.64x = 397,686.92 × 160,854.12
  4. Step 4: Simplify right side
    288,179.64x = 63,969,578,747.84
  5. Step 5: Solve for x
    x = 63,969,578,747.84/288,179.64
  6. Step 6: Final answer
    x = 221,978.13

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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.