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Finding the Fourth Proportional to 427,654.32, 641,978.40 and 250,288.62

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Solution

The fourth proportional to 427,654.32, 641,978.40 and 250,288.62 is: 375,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,654.32 : 641,978.40 = 250,288.62 : x
  2. Step 2: Convert to fraction form
    427,654.32/641,978.40 = 250,288.62/x
  3. Step 3: Cross multiply
    427,654.32x = 641,978.40 × 250,288.62
  4. Step 4: Simplify right side
    427,654.32x = 160,679,887,805.81
  5. Step 5: Solve for x
    x = 160,679,887,805.81/427,654.32
  6. Step 6: Final answer
    x = 375,723.76

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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.