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Finding the Fourth Proportional to 422,122.80, 582,530.40 and 228,532.55

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Solution

The fourth proportional to 422,122.80, 582,530.40 and 228,532.55 is: 315,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,122.80 : 582,530.40 = 228,532.55 : x
  2. Step 2: Convert to fraction form
    422,122.80/582,530.40 = 228,532.55/x
  3. Step 3: Cross multiply
    422,122.80x = 582,530.40 × 228,532.55
  4. Step 4: Simplify right side
    422,122.80x = 133,127,154,851.87
  5. Step 5: Solve for x
    x = 133,127,154,851.87/422,122.80
  6. Step 6: Final answer
    x = 315,375.42

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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.