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Finding the Fourth Proportional to 428,535, 642,832.20 and 179,217

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Solution

The fourth proportional to 428,535, 642,832.20 and 179,217 is: 268,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,535 : 642,832.20 = 179,217 : x
  2. Step 2: Convert to fraction form
    428,535/642,832.20 = 179,217/x
  3. Step 3: Cross multiply
    428,535x = 642,832.20 × 179,217
  4. Step 4: Simplify right side
    428,535x = 115,206,458,387.40
  5. Step 5: Solve for x
    x = 115,206,458,387.40/428,535
  6. Step 6: Final answer
    x = 268,837.92

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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.