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Finding the Fourth Proportional to 396,116.64, 546,630.72 and 226,350.80

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Solution

The fourth proportional to 396,116.64, 546,630.72 and 226,350.80 is: 312,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,116.64 : 546,630.72 = 226,350.80 : x
  2. Step 2: Convert to fraction form
    396,116.64/546,630.72 = 226,350.80/x
  3. Step 3: Cross multiply
    396,116.64x = 546,630.72 × 226,350.80
  4. Step 4: Simplify right side
    396,116.64x = 123,730,300,776.58
  5. Step 5: Solve for x
    x = 123,730,300,776.58/396,116.64
  6. Step 6: Final answer
    x = 312,358.25

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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.