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Finding the Fourth Proportional to 253,113.80, 379,233.30 and 213,747.80

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Solution

The fourth proportional to 253,113.80, 379,233.30 and 213,747.80 is: 320,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,113.80 : 379,233.30 = 213,747.80 : x
  2. Step 2: Convert to fraction form
    253,113.80/379,233.30 = 213,747.80/x
  3. Step 3: Cross multiply
    253,113.80x = 379,233.30 × 213,747.80
  4. Step 4: Simplify right side
    253,113.80x = 81,060,283,561.74
  5. Step 5: Solve for x
    x = 81,060,283,561.74/253,113.80
  6. Step 6: Final answer
    x = 320,252.33

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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.