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Finding the Fourth Proportional to 198,269.16, 297,404.16 and 139,368.40

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Solution

The fourth proportional to 198,269.16, 297,404.16 and 139,368.40 is: 209,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,269.16 : 297,404.16 = 139,368.40 : x
  2. Step 2: Convert to fraction form
    198,269.16/297,404.16 = 139,368.40/x
  3. Step 3: Cross multiply
    198,269.16x = 297,404.16 × 139,368.40
  4. Step 4: Simplify right side
    198,269.16x = 41,448,741,932.54
  5. Step 5: Solve for x
    x = 41,448,741,932.54/198,269.16
  6. Step 6: Final answer
    x = 209,052.90

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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.