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Finding the Fourth Proportional to 273,712.88, 412,674.86 and 268,814

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Solution

The fourth proportional to 273,712.88, 412,674.86 and 268,814 is: 405,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,712.88 : 412,674.86 = 268,814 : x
  2. Step 2: Convert to fraction form
    273,712.88/412,674.86 = 268,814/x
  3. Step 3: Cross multiply
    273,712.88x = 412,674.86 × 268,814
  4. Step 4: Simplify right side
    273,712.88x = 110,932,779,816.04
  5. Step 5: Solve for x
    x = 110,932,779,816.04/273,712.88
  6. Step 6: Final answer
    x = 405,288.86

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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.