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Finding the Fourth Proportional to 276,292.41, 381,143.95 and 161,496.06

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Solution

The fourth proportional to 276,292.41, 381,143.95 and 161,496.06 is: 222,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,292.41 : 381,143.95 = 161,496.06 : x
  2. Step 2: Convert to fraction form
    276,292.41/381,143.95 = 161,496.06/x
  3. Step 3: Cross multiply
    276,292.41x = 381,143.95 × 161,496.06
  4. Step 4: Simplify right side
    276,292.41x = 61,553,246,217.84
  5. Step 5: Solve for x
    x = 61,553,246,217.84/276,292.41
  6. Step 6: Final answer
    x = 222,782.98

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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.