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Finding the Fourth Proportional to 291,301.20, 436,951.80 and 197,989.20

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Solution

The fourth proportional to 291,301.20, 436,951.80 and 197,989.20 is: 296,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,301.20 : 436,951.80 = 197,989.20 : x
  2. Step 2: Convert to fraction form
    291,301.20/436,951.80 = 197,989.20/x
  3. Step 3: Cross multiply
    291,301.20x = 436,951.80 × 197,989.20
  4. Step 4: Simplify right side
    291,301.20x = 86,511,737,320.56
  5. Step 5: Solve for x
    x = 86,511,737,320.56/291,301.20
  6. Step 6: Final answer
    x = 296,983.80

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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.