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Finding the Fourth Proportional to 491,757.36, 737,490.24 and 211,209

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Solution

The fourth proportional to 491,757.36, 737,490.24 and 211,209 is: 316,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,757.36 : 737,490.24 = 211,209 : x
  2. Step 2: Convert to fraction form
    491,757.36/737,490.24 = 211,209/x
  3. Step 3: Cross multiply
    491,757.36x = 737,490.24 × 211,209
  4. Step 4: Simplify right side
    491,757.36x = 155,764,576,100.16
  5. Step 5: Solve for x
    x = 155,764,576,100.16/491,757.36
  6. Step 6: Final answer
    x = 316,750.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.