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Finding the Fourth Proportional to 410,945.29, 615,421.45 and 284,229.90

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Solution

The fourth proportional to 410,945.29, 615,421.45 and 284,229.90 is: 425,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,945.29 : 615,421.45 = 284,229.90 : x
  2. Step 2: Convert to fraction form
    410,945.29/615,421.45 = 284,229.90/x
  3. Step 3: Cross multiply
    410,945.29x = 615,421.45 × 284,229.90
  4. Step 4: Simplify right side
    410,945.29x = 174,921,177,191.36
  5. Step 5: Solve for x
    x = 174,921,177,191.36/410,945.29
  6. Step 6: Final answer
    x = 425,655.63

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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.