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Finding the Fourth Proportional to 422,096.40, 582,488.60 and 228,499.76

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Solution

The fourth proportional to 422,096.40, 582,488.60 and 228,499.76 is: 315,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,096.40 : 582,488.60 = 228,499.76 : x
  2. Step 2: Convert to fraction form
    422,096.40/582,488.60 = 228,499.76/x
  3. Step 3: Cross multiply
    422,096.40x = 582,488.60 × 228,499.76
  4. Step 4: Simplify right side
    422,096.40x = 133,098,505,302.74
  5. Step 5: Solve for x
    x = 133,098,505,302.74/422,096.40
  6. Step 6: Final answer
    x = 315,327.27

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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.