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Finding the Fourth Proportional to 418,997.16, 628,532.80 and 119,471.32

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Solution

The fourth proportional to 418,997.16, 628,532.80 and 119,471.32 is: 179,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,997.16 : 628,532.80 = 119,471.32 : x
  2. Step 2: Convert to fraction form
    418,997.16/628,532.80 = 119,471.32/x
  3. Step 3: Cross multiply
    418,997.16x = 628,532.80 × 119,471.32
  4. Step 4: Simplify right side
    418,997.16x = 75,091,643,279.30
  5. Step 5: Solve for x
    x = 75,091,643,279.30/418,997.16
  6. Step 6: Final answer
    x = 179,217.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.