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Finding the Fourth Proportional to 381,104.85, 571,878.73 and 170,742.79

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Solution

The fourth proportional to 381,104.85, 571,878.73 and 170,742.79 is: 256,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,104.85 : 571,878.73 = 170,742.79 : x
  2. Step 2: Convert to fraction form
    381,104.85/571,878.73 = 170,742.79/x
  3. Step 3: Cross multiply
    381,104.85x = 571,878.73 × 170,742.79
  4. Step 4: Simplify right side
    381,104.85x = 97,644,167,613.32
  5. Step 5: Solve for x
    x = 97,644,167,613.32/381,104.85
  6. Step 6: Final answer
    x = 256,213.40

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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.