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Finding the Fourth Proportional to 396,064.72, 545,645.22 and 324,024.88

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Solution

The fourth proportional to 396,064.72, 545,645.22 and 324,024.88 is: 446,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,064.72 : 545,645.22 = 324,024.88 : x
  2. Step 2: Convert to fraction form
    396,064.72/545,645.22 = 324,024.88/x
  3. Step 3: Cross multiply
    396,064.72x = 545,645.22 × 324,024.88
  4. Step 4: Simplify right side
    396,064.72x = 176,802,626,933.07
  5. Step 5: Solve for x
    x = 176,802,626,933.07/396,064.72
  6. Step 6: Final answer
    x = 446,398.32

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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.