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Finding the Fourth Proportional to 218,509.60, 327,764.40 and 188,442.40

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Solution

The fourth proportional to 218,509.60, 327,764.40 and 188,442.40 is: 282,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.60 : 327,764.40 = 188,442.40 : x
  2. Step 2: Convert to fraction form
    218,509.60/327,764.40 = 188,442.40/x
  3. Step 3: Cross multiply
    218,509.60x = 327,764.40 × 188,442.40
  4. Step 4: Simplify right side
    218,509.60x = 61,764,710,170.56
  5. Step 5: Solve for x
    x = 61,764,710,170.56/218,509.60
  6. Step 6: Final answer
    x = 282,663.60

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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.