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Finding the Fourth Proportional to 356,031.80, 491,308.12 and 194,893.64

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Solution

The fourth proportional to 356,031.80, 491,308.12 and 194,893.64 is: 268,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,031.80 : 491,308.12 = 194,893.64 : x
  2. Step 2: Convert to fraction form
    356,031.80/491,308.12 = 194,893.64/x
  3. Step 3: Cross multiply
    356,031.80x = 491,308.12 × 194,893.64
  4. Step 4: Simplify right side
    356,031.80x = 95,752,827,868.36
  5. Step 5: Solve for x
    x = 95,752,827,868.36/356,031.80
  6. Step 6: Final answer
    x = 268,944.59

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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.