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Finding the Fourth Proportional to 396,637.82, 547,360.16 and 215,349.77

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Solution

The fourth proportional to 396,637.82, 547,360.16 and 215,349.77 is: 297,182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,637.82 : 547,360.16 = 215,349.77 : x
  2. Step 2: Convert to fraction form
    396,637.82/547,360.16 = 215,349.77/x
  3. Step 3: Cross multiply
    396,637.82x = 547,360.16 × 215,349.77
  4. Step 4: Simplify right side
    396,637.82x = 117,873,880,749.61
  5. Step 5: Solve for x
    x = 117,873,880,749.61/396,637.82
  6. Step 6: Final answer
    x = 297,182.66

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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.