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Finding the Fourth Proportional to 391,165,401, 539,825,049.54 and 217,325,145

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Solution

The fourth proportional to 391,165,401, 539,825,049.54 and 217,325,145 is: 299,918,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,165,401 : 539,825,049.54 = 217,325,145 : x
  2. Step 2: Convert to fraction form
    391,165,401/539,825,049.54 = 217,325,145/x
  3. Step 3: Cross multiply
    391,165,401x = 539,825,049.54 × 217,325,145
  4. Step 4: Simplify right side
    391,165,401x = 117,317,557,165,912,672
  5. Step 5: Solve for x
    x = 117,317,557,165,912,672/391,165,401
  6. Step 6: Final answer
    x = 299,918,031.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.