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Finding the Fourth Proportional to 356,408, 491,843.04 and 197,432

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Solution

The fourth proportional to 356,408, 491,843.04 and 197,432 is: 272,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,408 : 491,843.04 = 197,432 : x
  2. Step 2: Convert to fraction form
    356,408/491,843.04 = 197,432/x
  3. Step 3: Cross multiply
    356,408x = 491,843.04 × 197,432
  4. Step 4: Simplify right side
    356,408x = 97,105,555,073.28
  5. Step 5: Solve for x
    x = 97,105,555,073.28/356,408
  6. Step 6: Final answer
    x = 272,456.16

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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.