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Finding the Fourth Proportional to 276,163.42, 381,101.89 and 155,304.67

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Solution

The fourth proportional to 276,163.42, 381,101.89 and 155,304.67 is: 214,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,163.42 : 381,101.89 = 155,304.67 : x
  2. Step 2: Convert to fraction form
    276,163.42/381,101.89 = 155,304.67/x
  3. Step 3: Cross multiply
    276,163.42x = 381,101.89 × 155,304.67
  4. Step 4: Simplify right side
    276,163.42x = 59,186,903,262.83
  5. Step 5: Solve for x
    x = 59,186,903,262.83/276,163.42
  6. Step 6: Final answer
    x = 214,318.40

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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.