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Finding the Fourth Proportional to 422,464.92, 633,736.34 and 138,156.95

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Solution

The fourth proportional to 422,464.92, 633,736.34 and 138,156.95 is: 207,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,464.92 : 633,736.34 = 138,156.95 : x
  2. Step 2: Convert to fraction form
    422,464.92/633,736.34 = 138,156.95/x
  3. Step 3: Cross multiply
    422,464.92x = 633,736.34 × 138,156.95
  4. Step 4: Simplify right side
    422,464.92x = 87,555,075,979.10
  5. Step 5: Solve for x
    x = 87,555,075,979.10/422,464.92
  6. Step 6: Final answer
    x = 207,248.16

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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.