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Finding the Fourth Proportional to 396,699.29, 547,443.01 and 215,409.64

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Solution

The fourth proportional to 396,699.29, 547,443.01 and 215,409.64 is: 297,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,699.29 : 547,443.01 = 215,409.64 : x
  2. Step 2: Convert to fraction form
    396,699.29/547,443.01 = 215,409.64/x
  3. Step 3: Cross multiply
    396,699.29x = 547,443.01 × 215,409.64
  4. Step 4: Simplify right side
    396,699.29x = 117,924,498,967.40
  5. Step 5: Solve for x
    x = 117,924,498,967.40/396,699.29
  6. Step 6: Final answer
    x = 297,264.20

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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.