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Finding the Fourth Proportional to 396,321.56, 546,920.60 and 224,238.06

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Solution

The fourth proportional to 396,321.56, 546,920.60 and 224,238.06 is: 309,446.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,321.56 : 546,920.60 = 224,238.06 : x
  2. Step 2: Convert to fraction form
    396,321.56/546,920.60 = 224,238.06/x
  3. Step 3: Cross multiply
    396,321.56x = 546,920.60 × 224,238.06
  4. Step 4: Simplify right side
    396,321.56x = 122,640,417,701.90
  5. Step 5: Solve for x
    x = 122,640,417,701.90/396,321.56
  6. Step 6: Final answer
    x = 309,446.75

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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.