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Finding the Fourth Proportional to 276,790.80, 415,186.20 and 136,822.80

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Solution

The fourth proportional to 276,790.80, 415,186.20 and 136,822.80 is: 205,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,790.80 : 415,186.20 = 136,822.80 : x
  2. Step 2: Convert to fraction form
    276,790.80/415,186.20 = 136,822.80/x
  3. Step 3: Cross multiply
    276,790.80x = 415,186.20 × 136,822.80
  4. Step 4: Simplify right side
    276,790.80x = 56,806,938,405.36
  5. Step 5: Solve for x
    x = 56,806,938,405.36/276,790.80
  6. Step 6: Final answer
    x = 205,234.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.