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Finding the Fourth Proportional to 427,078.44, 640,406.34 and 142,671.42

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Solution

The fourth proportional to 427,078.44, 640,406.34 and 142,671.42 is: 213,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,078.44 : 640,406.34 = 142,671.42 : x
  2. Step 2: Convert to fraction form
    427,078.44/640,406.34 = 142,671.42/x
  3. Step 3: Cross multiply
    427,078.44x = 640,406.34 × 142,671.42
  4. Step 4: Simplify right side
    427,078.44x = 91,367,681,904.80
  5. Step 5: Solve for x
    x = 91,367,681,904.80/427,078.44
  6. Step 6: Final answer
    x = 213,936.54

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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.