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Finding the Fourth Proportional to 410,008.92, 615,286.98 and 143,769.24

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Solution

The fourth proportional to 410,008.92, 615,286.98 and 143,769.24 is: 215,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,008.92 : 615,286.98 = 143,769.24 : x
  2. Step 2: Convert to fraction form
    410,008.92/615,286.98 = 143,769.24/x
  3. Step 3: Cross multiply
    410,008.92x = 615,286.98 × 143,769.24
  4. Step 4: Simplify right side
    410,008.92x = 88,459,341,496.50
  5. Step 5: Solve for x
    x = 88,459,341,496.50/410,008.92
  6. Step 6: Final answer
    x = 215,749.80

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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.