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Finding the Fourth Proportional to 198,455.60, 297,683.40 and 119,723.60

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Solution

The fourth proportional to 198,455.60, 297,683.40 and 119,723.60 is: 179,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,455.60 : 297,683.40 = 119,723.60 : x
  2. Step 2: Convert to fraction form
    198,455.60/297,683.40 = 119,723.60/x
  3. Step 3: Cross multiply
    198,455.60x = 297,683.40 × 119,723.60
  4. Step 4: Simplify right side
    198,455.60x = 35,639,728,308.24
  5. Step 5: Solve for x
    x = 35,639,728,308.24/198,455.60
  6. Step 6: Final answer
    x = 179,585.40

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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.