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Finding the Fourth Proportional to 219,676, 329,397.36 and 101,286.40

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Solution

The fourth proportional to 219,676, 329,397.36 and 101,286.40 is: 151,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,676 : 329,397.36 = 101,286.40 : x
  2. Step 2: Convert to fraction form
    219,676/329,397.36 = 101,286.40/x
  3. Step 3: Cross multiply
    219,676x = 329,397.36 × 101,286.40
  4. Step 4: Simplify right side
    219,676x = 33,363,472,763.90
  5. Step 5: Solve for x
    x = 33,363,472,763.90/219,676
  6. Step 6: Final answer
    x = 151,875.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.