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Finding the Fourth Proportional to 423,262.68, 635,101.61 and 198,641.38

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Solution

The fourth proportional to 423,262.68, 635,101.61 and 198,641.38 is: 298,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,262.68 : 635,101.61 = 198,641.38 : x
  2. Step 2: Convert to fraction form
    423,262.68/635,101.61 = 198,641.38/x
  3. Step 3: Cross multiply
    423,262.68x = 635,101.61 × 198,641.38
  4. Step 4: Simplify right side
    423,262.68x = 126,157,457,298.50
  5. Step 5: Solve for x
    x = 126,157,457,298.50/423,262.68
  6. Step 6: Final answer
    x = 298,059.49

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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.