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Finding the Fourth Proportional to 347,919.30, 521,490.15 and 198,231.30

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Solution

The fourth proportional to 347,919.30, 521,490.15 and 198,231.30 is: 297,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,919.30 : 521,490.15 = 198,231.30 : x
  2. Step 2: Convert to fraction form
    347,919.30/521,490.15 = 198,231.30/x
  3. Step 3: Cross multiply
    347,919.30x = 521,490.15 × 198,231.30
  4. Step 4: Simplify right side
    347,919.30x = 103,375,670,371.70
  5. Step 5: Solve for x
    x = 103,375,670,371.70/347,919.30
  6. Step 6: Final answer
    x = 297,125.43

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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.