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Finding the Fourth Proportional to 276,617.80, 414,926.70 and 136,358.20

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Solution

The fourth proportional to 276,617.80, 414,926.70 and 136,358.20 is: 204,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,617.80 : 414,926.70 = 136,358.20 : x
  2. Step 2: Convert to fraction form
    276,617.80/414,926.70 = 136,358.20/x
  3. Step 3: Cross multiply
    276,617.80x = 414,926.70 × 136,358.20
  4. Step 4: Simplify right side
    276,617.80x = 56,578,657,943.94
  5. Step 5: Solve for x
    x = 56,578,657,943.94/276,617.80
  6. Step 6: Final answer
    x = 204,537.30

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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.