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Finding the Fourth Proportional to 422,230, 582,683.72 and 231,261.20

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Solution

The fourth proportional to 422,230, 582,683.72 and 231,261.20 is: 319,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,230 : 582,683.72 = 231,261.20 : x
  2. Step 2: Convert to fraction form
    422,230/582,683.72 = 231,261.20/x
  3. Step 3: Cross multiply
    422,230x = 582,683.72 × 231,261.20
  4. Step 4: Simplify right side
    422,230x = 134,752,136,307.66
  5. Step 5: Solve for x
    x = 134,752,136,307.66/422,230
  6. Step 6: Final answer
    x = 319,143.92

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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.