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Finding the Fourth Proportional to 422,438.42, 633,799.02 and 138,142.10

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Solution

The fourth proportional to 422,438.42, 633,799.02 and 138,142.10 is: 207,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,438.42 : 633,799.02 = 138,142.10 : x
  2. Step 2: Convert to fraction form
    422,438.42/633,799.02 = 138,142.10/x
  3. Step 3: Cross multiply
    422,438.42x = 633,799.02 × 138,142.10
  4. Step 4: Simplify right side
    422,438.42x = 87,554,327,600.74
  5. Step 5: Solve for x
    x = 87,554,327,600.74/422,438.42
  6. Step 6: Final answer
    x = 207,259.39

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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.