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Finding the Fourth Proportional to 400,057.09, 552,078.76 and 218,769.14

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Solution

The fourth proportional to 400,057.09, 552,078.76 and 218,769.14 is: 301,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,057.09 : 552,078.76 = 218,769.14 : x
  2. Step 2: Convert to fraction form
    400,057.09/552,078.76 = 218,769.14/x
  3. Step 3: Cross multiply
    400,057.09x = 552,078.76 × 218,769.14
  4. Step 4: Simplify right side
    400,057.09x = 120,777,796,619.86
  5. Step 5: Solve for x
    x = 120,777,796,619.86/400,057.09
  6. Step 6: Final answer
    x = 301,901.40

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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.