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Finding the Fourth Proportional to 667,642.98, 920,432.24 and 422,505.80

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Solution

The fourth proportional to 667,642.98, 920,432.24 and 422,505.80 is: 582,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,642.98 : 920,432.24 = 422,505.80 : x
  2. Step 2: Convert to fraction form
    667,642.98/920,432.24 = 422,505.80/x
  3. Step 3: Cross multiply
    667,642.98x = 920,432.24 × 422,505.80
  4. Step 4: Simplify right side
    667,642.98x = 388,887,959,906.99
  5. Step 5: Solve for x
    x = 388,887,959,906.99/667,642.98
  6. Step 6: Final answer
    x = 582,478.92

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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.