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Finding the Fourth Proportional to 667,116.95, 920,245.46 and 422,025.80

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Solution

The fourth proportional to 667,116.95, 920,245.46 and 422,025.80 is: 582,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,116.95 : 920,245.46 = 422,025.80 : x
  2. Step 2: Convert to fraction form
    667,116.95/920,245.46 = 422,025.80/x
  3. Step 3: Cross multiply
    667,116.95x = 920,245.46 × 422,025.80
  4. Step 4: Simplify right side
    667,116.95x = 388,367,319,741.51
  5. Step 5: Solve for x
    x = 388,367,319,741.51/667,116.95
  6. Step 6: Final answer
    x = 582,157.78

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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.