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Finding the Fourth Proportional to 422,209.77, 633,315.87 and 102,360.39

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Solution

The fourth proportional to 422,209.77, 633,315.87 and 102,360.39 is: 153,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,209.77 : 633,315.87 = 102,360.39 : x
  2. Step 2: Convert to fraction form
    422,209.77/633,315.87 = 102,360.39/x
  3. Step 3: Cross multiply
    422,209.77x = 633,315.87 × 102,360.39
  4. Step 4: Simplify right side
    422,209.77x = 64,826,459,446.39
  5. Step 5: Solve for x
    x = 64,826,459,446.39/422,209.77
  6. Step 6: Final answer
    x = 153,540.88

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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.