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Finding the Fourth Proportional to 356,449.74, 491,906.70 and 195,320.50

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Solution

The fourth proportional to 356,449.74, 491,906.70 and 195,320.50 is: 269,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,449.74 : 491,906.70 = 195,320.50 : x
  2. Step 2: Convert to fraction form
    356,449.74/491,906.70 = 195,320.50/x
  3. Step 3: Cross multiply
    356,449.74x = 491,906.70 × 195,320.50
  4. Step 4: Simplify right side
    356,449.74x = 96,079,462,597.35
  5. Step 5: Solve for x
    x = 96,079,462,597.35/356,449.74
  6. Step 6: Final answer
    x = 269,545.61

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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.