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Finding the Fourth Proportional to 273,710.88, 412,671.84 and 268,812

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Solution

The fourth proportional to 273,710.88, 412,671.84 and 268,812 is: 405,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,710.88 : 412,671.84 = 268,812 : x
  2. Step 2: Convert to fraction form
    273,710.88/412,671.84 = 268,812/x
  3. Step 3: Cross multiply
    273,710.88x = 412,671.84 × 268,812
  4. Step 4: Simplify right side
    273,710.88x = 110,931,142,654.08
  5. Step 5: Solve for x
    x = 110,931,142,654.08/273,710.88
  6. Step 6: Final answer
    x = 405,285.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.