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Finding the Fourth Proportional to 423,555.98, 635,147.46 and 198,980.24

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Solution

The fourth proportional to 423,555.98, 635,147.46 and 198,980.24 is: 298,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,555.98 : 635,147.46 = 198,980.24 : x
  2. Step 2: Convert to fraction form
    423,555.98/635,147.46 = 198,980.24/x
  3. Step 3: Cross multiply
    423,555.98x = 635,147.46 × 198,980.24
  4. Step 4: Simplify right side
    423,555.98x = 126,381,795,614.06
  5. Step 5: Solve for x
    x = 126,381,795,614.06/423,555.98
  6. Step 6: Final answer
    x = 298,382.74

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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.