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Finding the Fourth Proportional to 300,872.28, 415,149.30 and 193,417.68

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Solution

The fourth proportional to 300,872.28, 415,149.30 and 193,417.68 is: 266,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,872.28 : 415,149.30 = 193,417.68 : x
  2. Step 2: Convert to fraction form
    300,872.28/415,149.30 = 193,417.68/x
  3. Step 3: Cross multiply
    300,872.28x = 415,149.30 × 193,417.68
  4. Step 4: Simplify right side
    300,872.28x = 80,297,214,459.62
  5. Step 5: Solve for x
    x = 80,297,214,459.62/300,872.28
  6. Step 6: Final answer
    x = 266,881.40

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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.