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Finding the Fourth Proportional to 251,380.78, 346,980.26 and 144,022.30

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Solution

The fourth proportional to 251,380.78, 346,980.26 and 144,022.30 is: 198,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,380.78 : 346,980.26 = 144,022.30 : x
  2. Step 2: Convert to fraction form
    251,380.78/346,980.26 = 144,022.30/x
  3. Step 3: Cross multiply
    251,380.78x = 346,980.26 × 144,022.30
  4. Step 4: Simplify right side
    251,380.78x = 49,972,895,099.80
  5. Step 5: Solve for x
    x = 49,972,895,099.80/251,380.78
  6. Step 6: Final answer
    x = 198,793.62

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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.