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Finding the Fourth Proportional to 365,760, 548,141.85 and 205,912.17

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Solution

The fourth proportional to 365,760, 548,141.85 and 205,912.17 is: 308,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,760 : 548,141.85 = 205,912.17 : x
  2. Step 2: Convert to fraction form
    365,760/548,141.85 = 205,912.17/x
  3. Step 3: Cross multiply
    365,760x = 548,141.85 × 205,912.17
  4. Step 4: Simplify right side
    365,760x = 112,869,077,801.32
  5. Step 5: Solve for x
    x = 112,869,077,801.32/365,760
  6. Step 6: Final answer
    x = 308,587.81

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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.