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Finding the Fourth Proportional to 276,510.64, 381,380.96 and 208,530.48

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Solution

The fourth proportional to 276,510.64, 381,380.96 and 208,530.48 is: 287,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,510.64 : 381,380.96 = 208,530.48 : x
  2. Step 2: Convert to fraction form
    276,510.64/381,380.96 = 208,530.48/x
  3. Step 3: Cross multiply
    276,510.64x = 381,380.96 × 208,530.48
  4. Step 4: Simplify right side
    276,510.64x = 79,529,554,651.66
  5. Step 5: Solve for x
    x = 79,529,554,651.66/276,510.64
  6. Step 6: Final answer
    x = 287,618.42

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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.