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Finding the Fourth Proportional to 396,924, 547,763.76 and 218,076

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Solution

The fourth proportional to 396,924, 547,763.76 and 218,076 is: 300,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,924 : 547,763.76 = 218,076 : x
  2. Step 2: Convert to fraction form
    396,924/547,763.76 = 218,076/x
  3. Step 3: Cross multiply
    396,924x = 547,763.76 × 218,076
  4. Step 4: Simplify right side
    396,924x = 119,454,129,725.76
  5. Step 5: Solve for x
    x = 119,454,129,725.76/396,924
  6. Step 6: Final answer
    x = 300,949.63

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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.