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Finding the Fourth Proportional to 276,193.76, 381,199.73 and 172,875.87

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Solution

The fourth proportional to 276,193.76, 381,199.73 and 172,875.87 is: 238,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,193.76 : 381,199.73 = 172,875.87 : x
  2. Step 2: Convert to fraction form
    276,193.76/381,199.73 = 172,875.87/x
  3. Step 3: Cross multiply
    276,193.76x = 381,199.73 × 172,875.87
  4. Step 4: Simplify right side
    276,193.76x = 65,900,234,103.14
  5. Step 5: Solve for x
    x = 65,900,234,103.14/276,193.76
  6. Step 6: Final answer
    x = 238,601.46

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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.