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Finding the Fourth Proportional to 422,659.95, 633,928.61 and 138,361.76

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Solution

The fourth proportional to 422,659.95, 633,928.61 and 138,361.76 is: 207,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,659.95 : 633,928.61 = 138,361.76 : x
  2. Step 2: Convert to fraction form
    422,659.95/633,928.61 = 138,361.76/x
  3. Step 3: Cross multiply
    422,659.95x = 633,928.61 × 138,361.76
  4. Step 4: Simplify right side
    422,659.95x = 87,711,474,332.50
  5. Step 5: Solve for x
    x = 87,711,474,332.50/422,659.95
  6. Step 6: Final answer
    x = 207,522.56

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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.