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Finding the Fourth Proportional to 396,123.64, 546,640.38 and 226,357.78

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Solution

The fourth proportional to 396,123.64, 546,640.38 and 226,357.78 is: 312,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,123.64 : 546,640.38 = 226,357.78 : x
  2. Step 2: Convert to fraction form
    396,123.64/546,640.38 = 226,357.78/x
  3. Step 3: Cross multiply
    396,123.64x = 546,640.38 × 226,357.78
  4. Step 4: Simplify right side
    396,123.64x = 123,736,302,875.16
  5. Step 5: Solve for x
    x = 123,736,302,875.16/396,123.64
  6. Step 6: Final answer
    x = 312,367.88

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1.5x scale

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.