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Finding the Fourth Proportional to 427,605.32, 641,218.44 and 227,888.48

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Solution

The fourth proportional to 427,605.32, 641,218.44 and 227,888.48 is: 341,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,605.32 : 641,218.44 = 227,888.48 : x
  2. Step 2: Convert to fraction form
    427,605.32/641,218.44 = 227,888.48/x
  3. Step 3: Cross multiply
    427,605.32x = 641,218.44 × 227,888.48
  4. Step 4: Simplify right side
    427,605.32x = 146,126,295,639.57
  5. Step 5: Solve for x
    x = 146,126,295,639.57/427,605.32
  6. Step 6: Final answer
    x = 341,731.71

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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.