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Finding the Fourth Proportional to 399,751.47, 551,754.99 and 227,770.83

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Solution

The fourth proportional to 399,751.47, 551,754.99 and 227,770.83 is: 314,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,751.47 : 551,754.99 = 227,770.83 : x
  2. Step 2: Convert to fraction form
    399,751.47/551,754.99 = 227,770.83/x
  3. Step 3: Cross multiply
    399,751.47x = 551,754.99 × 227,770.83
  4. Step 4: Simplify right side
    399,751.47x = 125,673,692,028.94
  5. Step 5: Solve for x
    x = 125,673,692,028.94/399,751.47
  6. Step 6: Final answer
    x = 314,379.56

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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.