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Finding the Fourth Proportional to 423,549.57, 635,137.85 and 198,973.83

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Solution

The fourth proportional to 423,549.57, 635,137.85 and 198,973.83 is: 298,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,549.57 : 635,137.85 = 198,973.83 : x
  2. Step 2: Convert to fraction form
    423,549.57/635,137.85 = 198,973.83/x
  3. Step 3: Cross multiply
    423,549.57x = 635,137.85 × 198,973.83
  4. Step 4: Simplify right side
    423,549.57x = 126,375,806,421.91
  5. Step 5: Solve for x
    x = 126,375,806,421.91/423,549.57
  6. Step 6: Final answer
    x = 298,373.12

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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.