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Finding the Fourth Proportional to 396,698.79, 547,442.32 and 215,409.13

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Solution

The fourth proportional to 396,698.79, 547,442.32 and 215,409.13 is: 297,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,698.79 : 547,442.32 = 215,409.13 : x
  2. Step 2: Convert to fraction form
    396,698.79/547,442.32 = 215,409.13/x
  3. Step 3: Cross multiply
    396,698.79x = 547,442.32 × 215,409.13
  4. Step 4: Simplify right side
    396,698.79x = 117,924,076,828.18
  5. Step 5: Solve for x
    x = 117,924,076,828.18/396,698.79
  6. Step 6: Final answer
    x = 297,263.51

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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.