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Finding the Fourth Proportional to 218,419.64, 301,428.79 and 122,932.52

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Solution

The fourth proportional to 218,419.64, 301,428.79 and 122,932.52 is: 169,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,419.64 : 301,428.79 = 122,932.52 : x
  2. Step 2: Convert to fraction form
    218,419.64/301,428.79 = 122,932.52/x
  3. Step 3: Cross multiply
    218,419.64x = 301,428.79 × 122,932.52
  4. Step 4: Simplify right side
    218,419.64x = 37,055,399,555.44
  5. Step 5: Solve for x
    x = 37,055,399,555.44/218,419.64
  6. Step 6: Final answer
    x = 169,652.33

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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.