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Finding the Fourth Proportional to 309,052.12, 426,477.18 and 189,797.08

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Solution

The fourth proportional to 309,052.12, 426,477.18 and 189,797.08 is: 261,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,052.12 : 426,477.18 = 189,797.08 : x
  2. Step 2: Convert to fraction form
    309,052.12/426,477.18 = 189,797.08/x
  3. Step 3: Cross multiply
    309,052.12x = 426,477.18 × 189,797.08
  4. Step 4: Simplify right side
    309,052.12x = 80,944,123,450.63
  5. Step 5: Solve for x
    x = 80,944,123,450.63/309,052.12
  6. Step 6: Final answer
    x = 261,910.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.