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Finding the Fourth Proportional to 400,309.81, 552,350.78 and 228,224.50

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Solution

The fourth proportional to 400,309.81, 552,350.78 and 228,224.50 is: 314,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,309.81 : 552,350.78 = 228,224.50 : x
  2. Step 2: Convert to fraction form
    400,309.81/552,350.78 = 228,224.50/x
  3. Step 3: Cross multiply
    400,309.81x = 552,350.78 × 228,224.50
  4. Step 4: Simplify right side
    400,309.81x = 126,059,978,923.95
  5. Step 5: Solve for x
    x = 126,059,978,923.95/400,309.81
  6. Step 6: Final answer
    x = 314,906.05

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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.