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Finding the Fourth Proportional to 381,954.69, 527,130.18 and 212,199.75

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Solution

The fourth proportional to 381,954.69, 527,130.18 and 212,199.75 is: 292,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,954.69 : 527,130.18 = 212,199.75 : x
  2. Step 2: Convert to fraction form
    381,954.69/527,130.18 = 212,199.75/x
  3. Step 3: Cross multiply
    381,954.69x = 527,130.18 × 212,199.75
  4. Step 4: Simplify right side
    381,954.69x = 111,856,892,413.46
  5. Step 5: Solve for x
    x = 111,856,892,413.46/381,954.69
  6. Step 6: Final answer
    x = 292,853.83

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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.