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Finding the Fourth Proportional to 218,974.60, 328,472.70 and 113,998.60

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Solution

The fourth proportional to 218,974.60, 328,472.70 and 113,998.60 is: 171,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,974.60 : 328,472.70 = 113,998.60 : x
  2. Step 2: Convert to fraction form
    218,974.60/328,472.70 = 113,998.60/x
  3. Step 3: Cross multiply
    218,974.60x = 328,472.70 × 113,998.60
  4. Step 4: Simplify right side
    218,974.60x = 37,445,427,938.22
  5. Step 5: Solve for x
    x = 37,445,427,938.22/218,974.60
  6. Step 6: Final answer
    x = 171,003.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.