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Finding the Fourth Proportional to 422,324.53, 633,536.01 and 138,036.40

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Solution

The fourth proportional to 422,324.53, 633,536.01 and 138,036.40 is: 207,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,324.53 : 633,536.01 = 138,036.40 : x
  2. Step 2: Convert to fraction form
    422,324.53/633,536.01 = 138,036.40/x
  3. Step 3: Cross multiply
    422,324.53x = 633,536.01 × 138,036.40
  4. Step 4: Simplify right side
    422,324.53x = 87,451,032,264.68
  5. Step 5: Solve for x
    x = 87,451,032,264.68/422,324.53
  6. Step 6: Final answer
    x = 207,070.69

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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.