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Finding the Fourth Proportional to 276,401.92, 414,807.84 and 205,488.64

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Solution

The fourth proportional to 276,401.92, 414,807.84 and 205,488.64 is: 308,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,401.92 : 414,807.84 = 205,488.64 : x
  2. Step 2: Convert to fraction form
    276,401.92/414,807.84 = 205,488.64/x
  3. Step 3: Cross multiply
    276,401.92x = 414,807.84 × 205,488.64
  4. Step 4: Simplify right side
    276,401.92x = 85,238,298,902.94
  5. Step 5: Solve for x
    x = 85,238,298,902.94/276,401.92
  6. Step 6: Final answer
    x = 308,385.34

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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.