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Finding the Fourth Proportional to 356,082, 491,393.16 and 197,106

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Solution

The fourth proportional to 356,082, 491,393.16 and 197,106 is: 272,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,082 : 491,393.16 = 197,106 : x
  2. Step 2: Convert to fraction form
    356,082/491,393.16 = 197,106/x
  3. Step 3: Cross multiply
    356,082x = 491,393.16 × 197,106
  4. Step 4: Simplify right side
    356,082x = 96,856,540,194.96
  5. Step 5: Solve for x
    x = 96,856,540,194.96/356,082
  6. Step 6: Final answer
    x = 272,006.28

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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.