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Finding the Fourth Proportional to 427,781.52, 641,429.30 and 174,765.78

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Solution

The fourth proportional to 427,781.52, 641,429.30 and 174,765.78 is: 262,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,781.52 : 641,429.30 = 174,765.78 : x
  2. Step 2: Convert to fraction form
    427,781.52/641,429.30 = 174,765.78/x
  3. Step 3: Cross multiply
    427,781.52x = 641,429.30 × 174,765.78
  4. Step 4: Simplify right side
    427,781.52x = 112,099,891,055.53
  5. Step 5: Solve for x
    x = 112,099,891,055.53/427,781.52
  6. Step 6: Final answer
    x = 262,049.40

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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.