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Finding the Fourth Proportional to 400,704, 552,971.52 and 221,867.52

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Solution

The fourth proportional to 400,704, 552,971.52 and 221,867.52 is: 306,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704 : 552,971.52 = 221,867.52 : x
  2. Step 2: Convert to fraction form
    400,704/552,971.52 = 221,867.52/x
  3. Step 3: Cross multiply
    400,704x = 552,971.52 × 221,867.52
  4. Step 4: Simplify right side
    400,704x = 122,686,419,773.03
  5. Step 5: Solve for x
    x = 122,686,419,773.03/400,704
  6. Step 6: Final answer
    x = 306,177.18

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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.