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Finding the Fourth Proportional to 399,978.86, 552,005.01 and 227,949.44

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Solution

The fourth proportional to 399,978.86, 552,005.01 and 227,949.44 is: 314,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,978.86 : 552,005.01 = 227,949.44 : x
  2. Step 2: Convert to fraction form
    399,978.86/552,005.01 = 227,949.44/x
  3. Step 3: Cross multiply
    399,978.86x = 552,005.01 × 227,949.44
  4. Step 4: Simplify right side
    399,978.86x = 125,829,230,146.67
  5. Step 5: Solve for x
    x = 125,829,230,146.67/399,978.86
  6. Step 6: Final answer
    x = 314,589.71

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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.