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Finding the Fourth Proportional to 381,679.85, 571,647.75 and 182,140.35

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Solution

The fourth proportional to 381,679.85, 571,647.75 and 182,140.35 is: 272,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,679.85 : 571,647.75 = 182,140.35 : x
  2. Step 2: Convert to fraction form
    381,679.85/571,647.75 = 182,140.35/x
  3. Step 3: Cross multiply
    381,679.85x = 571,647.75 × 182,140.35
  4. Step 4: Simplify right side
    381,679.85x = 104,120,121,261.71
  5. Step 5: Solve for x
    x = 104,120,121,261.71/381,679.85
  6. Step 6: Final answer
    x = 272,794.39

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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.