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Finding the Fourth Proportional to 396,999.14, 547,862.16 and 215,711.08

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Solution

The fourth proportional to 396,999.14, 547,862.16 and 215,711.08 is: 297,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,999.14 : 547,862.16 = 215,711.08 : x
  2. Step 2: Convert to fraction form
    396,999.14/547,862.16 = 215,711.08/x
  3. Step 3: Cross multiply
    396,999.14x = 547,862.16 × 215,711.08
  4. Step 4: Simplify right side
    396,999.14x = 118,179,938,224.73
  5. Step 5: Solve for x
    x = 118,179,938,224.73/396,999.14
  6. Step 6: Final answer
    x = 297,683.11

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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.