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Finding the Fourth Proportional to 276,046.80, 380,935.72 and 155,193.16

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Solution

The fourth proportional to 276,046.80, 380,935.72 and 155,193.16 is: 214,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,046.80 : 380,935.72 = 155,193.16 : x
  2. Step 2: Convert to fraction form
    276,046.80/380,935.72 = 155,193.16/x
  3. Step 3: Cross multiply
    276,046.80x = 380,935.72 × 155,193.16
  4. Step 4: Simplify right side
    276,046.80x = 59,118,618,143.68
  5. Step 5: Solve for x
    x = 59,118,618,143.68/276,046.80
  6. Step 6: Final answer
    x = 214,161.58

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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.