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Finding the Fourth Proportional to 218,498.60, 327,747.90 and 188,431.40

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Solution

The fourth proportional to 218,498.60, 327,747.90 and 188,431.40 is: 282,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,498.60 : 327,747.90 = 188,431.40 : x
  2. Step 2: Convert to fraction form
    218,498.60/327,747.90 = 188,431.40/x
  3. Step 3: Cross multiply
    218,498.60x = 327,747.90 × 188,431.40
  4. Step 4: Simplify right side
    218,498.60x = 61,757,995,644.06
  5. Step 5: Solve for x
    x = 61,757,995,644.06/218,498.60
  6. Step 6: Final answer
    x = 282,647.10

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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.