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Finding the Fourth Proportional to 422,432.18, 633,789.74 and 138,135.86

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Solution

The fourth proportional to 422,432.18, 633,789.74 and 138,135.86 is: 207,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,432.18 : 633,789.74 = 138,135.86 : x
  2. Step 2: Convert to fraction form
    422,432.18/633,789.74 = 138,135.86/x
  3. Step 3: Cross multiply
    422,432.18x = 633,789.74 × 138,135.86
  4. Step 4: Simplify right side
    422,432.18x = 87,549,090,794.08
  5. Step 5: Solve for x
    x = 87,549,090,794.08/422,432.18
  6. Step 6: Final answer
    x = 207,250.05

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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.