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Finding the Fourth Proportional to 587,902.80, 811,314.50 and 329,836.80

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Solution

The fourth proportional to 587,902.80, 811,314.50 and 329,836.80 is: 455,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,902.80 : 811,314.50 = 329,836.80 : x
  2. Step 2: Convert to fraction form
    587,902.80/811,314.50 = 329,836.80/x
  3. Step 3: Cross multiply
    587,902.80x = 811,314.50 × 329,836.80
  4. Step 4: Simplify right side
    587,902.80x = 267,601,378,473.60
  5. Step 5: Solve for x
    x = 267,601,378,473.60/587,902.80
  6. Step 6: Final answer
    x = 455,179.63

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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.