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Finding the Fourth Proportional to 311,777.88, 429,966.54 and 204,308.88

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Solution

The fourth proportional to 311,777.88, 429,966.54 and 204,308.88 is: 281,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,777.88 : 429,966.54 = 204,308.88 : x
  2. Step 2: Convert to fraction form
    311,777.88/429,966.54 = 204,308.88/x
  3. Step 3: Cross multiply
    311,777.88x = 429,966.54 × 204,308.88
  4. Step 4: Simplify right side
    311,777.88x = 87,845,982,224.88
  5. Step 5: Solve for x
    x = 87,845,982,224.88/311,777.88
  6. Step 6: Final answer
    x = 281,758.23

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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.