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Finding the Fourth Proportional to 376,086.57, 564,212.91 and 139,429.26

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Solution

The fourth proportional to 376,086.57, 564,212.91 and 139,429.26 is: 209,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,086.57 : 564,212.91 = 139,429.26 : x
  2. Step 2: Convert to fraction form
    376,086.57/564,212.91 = 139,429.26/x
  3. Step 3: Cross multiply
    376,086.57x = 564,212.91 × 139,429.26
  4. Step 4: Simplify right side
    376,086.57x = 78,667,788,523.75
  5. Step 5: Solve for x
    x = 78,667,788,523.75/376,086.57
  6. Step 6: Final answer
    x = 209,174.68

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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.