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Finding the Fourth Proportional to 396,553.76, 547,254.16 and 215,265.74

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Solution

The fourth proportional to 396,553.76, 547,254.16 and 215,265.74 is: 297,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,553.76 : 547,254.16 = 215,265.74 : x
  2. Step 2: Convert to fraction form
    396,553.76/547,254.16 = 215,265.74/x
  3. Step 3: Cross multiply
    396,553.76x = 547,254.16 × 215,265.74
  4. Step 4: Simplify right side
    396,553.76x = 117,805,071,720.48
  5. Step 5: Solve for x
    x = 117,805,071,720.48/396,553.76
  6. Step 6: Final answer
    x = 297,072.13

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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.