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Finding the Fourth Proportional to 218,086.40, 327,129.60 and 190,438.40

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Solution

The fourth proportional to 218,086.40, 327,129.60 and 190,438.40 is: 285,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,086.40 : 327,129.60 = 190,438.40 : x
  2. Step 2: Convert to fraction form
    218,086.40/327,129.60 = 190,438.40/x
  3. Step 3: Cross multiply
    218,086.40x = 327,129.60 × 190,438.40
  4. Step 4: Simplify right side
    218,086.40x = 62,298,037,616.64
  5. Step 5: Solve for x
    x = 62,298,037,616.64/218,086.40
  6. Step 6: Final answer
    x = 285,657.60

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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.