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Finding the Fourth Proportional to 423,550.82, 635,139.72 and 198,975.08

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Solution

The fourth proportional to 423,550.82, 635,139.72 and 198,975.08 is: 298,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,550.82 : 635,139.72 = 198,975.08 : x
  2. Step 2: Convert to fraction form
    423,550.82/635,139.72 = 198,975.08/x
  3. Step 3: Cross multiply
    423,550.82x = 635,139.72 × 198,975.08
  4. Step 4: Simplify right side
    423,550.82x = 126,376,976,598.18
  5. Step 5: Solve for x
    x = 126,376,976,598.18/423,550.82
  6. Step 6: Final answer
    x = 298,375.00

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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.