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Finding the Fourth Proportional to 198,574.40, 297,861.60 and 178,913.60

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Solution

The fourth proportional to 198,574.40, 297,861.60 and 178,913.60 is: 268,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,574.40 : 297,861.60 = 178,913.60 : x
  2. Step 2: Convert to fraction form
    198,574.40/297,861.60 = 178,913.60/x
  3. Step 3: Cross multiply
    198,574.40x = 297,861.60 × 178,913.60
  4. Step 4: Simplify right side
    198,574.40x = 53,291,491,157.76
  5. Step 5: Solve for x
    x = 53,291,491,157.76/198,574.40
  6. Step 6: Final answer
    x = 268,370.40

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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.