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Finding the Fourth Proportional to 198,406, 297,297.84 and 168,701.68

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Solution

The fourth proportional to 198,406, 297,297.84 and 168,701.68 is: 252,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,406 : 297,297.84 = 168,701.68 : x
  2. Step 2: Convert to fraction form
    198,406/297,297.84 = 168,701.68/x
  3. Step 3: Cross multiply
    198,406x = 297,297.84 × 168,701.68
  4. Step 4: Simplify right side
    198,406x = 50,154,645,068.37
  5. Step 5: Solve for x
    x = 50,154,645,068.37/198,406
  6. Step 6: Final answer
    x = 252,787.95

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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.