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Finding the Fourth Proportional to 426,652.46, 640,023.68 and 142,243.88

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Solution

The fourth proportional to 426,652.46, 640,023.68 and 142,243.88 is: 213,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,652.46 : 640,023.68 = 142,243.88 : x
  2. Step 2: Convert to fraction form
    426,652.46/640,023.68 = 142,243.88/x
  3. Step 3: Cross multiply
    426,652.46x = 640,023.68 × 142,243.88
  4. Step 4: Simplify right side
    426,652.46x = 91,039,449,223.80
  5. Step 5: Solve for x
    x = 91,039,449,223.80/426,652.46
  6. Step 6: Final answer
    x = 213,380.81

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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.