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Finding the Fourth Proportional to 288,833.28, 398,429.76 and 167,961.28

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Solution

The fourth proportional to 288,833.28, 398,429.76 and 167,961.28 is: 231,693.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,833.28 : 398,429.76 = 167,961.28 : x
  2. Step 2: Convert to fraction form
    288,833.28/398,429.76 = 167,961.28/x
  3. Step 3: Cross multiply
    288,833.28x = 398,429.76 × 167,961.28
  4. Step 4: Simplify right side
    288,833.28x = 66,920,772,479.69
  5. Step 5: Solve for x
    x = 66,920,772,479.69/288,833.28
  6. Step 6: Final answer
    x = 231,693.43

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1.5x scale

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.