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Finding the Fourth Proportional to 422,344.25, 633,511.01 and 102,498.75

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Solution

The fourth proportional to 422,344.25, 633,511.01 and 102,498.75 is: 153,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,344.25 : 633,511.01 = 102,498.75 : x
  2. Step 2: Convert to fraction form
    422,344.25/633,511.01 = 102,498.75/x
  3. Step 3: Cross multiply
    422,344.25x = 633,511.01 × 102,498.75
  4. Step 4: Simplify right side
    422,344.25x = 64,934,083,468.68
  5. Step 5: Solve for x
    x = 64,934,083,468.68/422,344.25
  6. Step 6: Final answer
    x = 153,746.82

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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.