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Finding the Fourth Proportional to 396,594.36, 547,304.40 and 215,307.96

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Solution

The fourth proportional to 396,594.36, 547,304.40 and 215,307.96 is: 297,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,594.36 : 547,304.40 = 215,307.96 : x
  2. Step 2: Convert to fraction form
    396,594.36/547,304.40 = 215,307.96/x
  3. Step 3: Cross multiply
    396,594.36x = 547,304.40 × 215,307.96
  4. Step 4: Simplify right side
    396,594.36x = 117,838,993,863.02
  5. Step 5: Solve for x
    x = 117,838,993,863.02/396,594.36
  6. Step 6: Final answer
    x = 297,127.26

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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.