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Finding the Fourth Proportional to 396,493.48, 547,157.22 and 215,205.16

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Solution

The fourth proportional to 396,493.48, 547,157.22 and 215,205.16 is: 296,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,493.48 : 547,157.22 = 215,205.16 : x
  2. Step 2: Convert to fraction form
    396,493.48/547,157.22 = 215,205.16/x
  3. Step 3: Cross multiply
    396,493.48x = 547,157.22 × 215,205.16
  4. Step 4: Simplify right side
    396,493.48x = 117,751,057,075.26
  5. Step 5: Solve for x
    x = 117,751,057,075.26/396,493.48
  6. Step 6: Final answer
    x = 296,981.07

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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.