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Finding the Fourth Proportional to 356,345.50, 491,764.71 and 203,380.63

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Solution

The fourth proportional to 356,345.50, 491,764.71 and 203,380.63 is: 280,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,345.50 : 491,764.71 = 203,380.63 : x
  2. Step 2: Convert to fraction form
    356,345.50/491,764.71 = 203,380.63/x
  3. Step 3: Cross multiply
    356,345.50x = 491,764.71 × 203,380.63
  4. Step 4: Simplify right side
    356,345.50x = 100,015,416,531.57
  5. Step 5: Solve for x
    x = 100,015,416,531.57/356,345.50
  6. Step 6: Final answer
    x = 280,669.79

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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.