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Finding the Fourth Proportional to 253,297.98, 379,447.62 and 205,966.50

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Solution

The fourth proportional to 253,297.98, 379,447.62 and 205,966.50 is: 308,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,297.98 : 379,447.62 = 205,966.50 : x
  2. Step 2: Convert to fraction form
    253,297.98/379,447.62 = 205,966.50/x
  3. Step 3: Cross multiply
    253,297.98x = 379,447.62 × 205,966.50
  4. Step 4: Simplify right side
    253,297.98x = 78,153,498,224.73
  5. Step 5: Solve for x
    x = 78,153,498,224.73/253,297.98
  6. Step 6: Final answer
    x = 308,543.71

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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.