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Finding the Fourth Proportional to 268,253.43, 402,013.81 and 135,223.68

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Solution

The fourth proportional to 268,253.43, 402,013.81 and 135,223.68 is: 202,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,253.43 : 402,013.81 = 135,223.68 : x
  2. Step 2: Convert to fraction form
    268,253.43/402,013.81 = 135,223.68/x
  3. Step 3: Cross multiply
    268,253.43x = 402,013.81 × 135,223.68
  4. Step 4: Simplify right side
    268,253.43x = 54,361,786,799.02
  5. Step 5: Solve for x
    x = 54,361,786,799.02/268,253.43
  6. Step 6: Final answer
    x = 202,650.85

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1.5x scale

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.