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Finding the Fourth Proportional to 198,615.60, 297,923.40 and 178,932.60

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Solution

The fourth proportional to 198,615.60, 297,923.40 and 178,932.60 is: 268,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.60 : 297,923.40 = 178,932.60 : x
  2. Step 2: Convert to fraction form
    198,615.60/297,923.40 = 178,932.60/x
  3. Step 3: Cross multiply
    198,615.60x = 297,923.40 × 178,932.60
  4. Step 4: Simplify right side
    198,615.60x = 53,308,208,562.84
  5. Step 5: Solve for x
    x = 53,308,208,562.84/198,615.60
  6. Step 6: Final answer
    x = 268,398.90

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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.