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Finding the Fourth Proportional to 422,404.34, 633,553.64 and 138,071.10

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Solution

The fourth proportional to 422,404.34, 633,553.64 and 138,071.10 is: 207,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,404.34 : 633,553.64 = 138,071.10 : x
  2. Step 2: Convert to fraction form
    422,404.34/633,553.64 = 138,071.10/x
  3. Step 3: Cross multiply
    422,404.34x = 633,553.64 × 138,071.10
  4. Step 4: Simplify right side
    422,404.34x = 87,475,447,983.80
  5. Step 5: Solve for x
    x = 87,475,447,983.80/422,404.34
  6. Step 6: Final answer
    x = 207,089.37

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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.