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Finding the Fourth Proportional to 408,890.70, 613,093.05 and 251,232.30

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Solution

The fourth proportional to 408,890.70, 613,093.05 and 251,232.30 is: 376,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,890.70 : 613,093.05 = 251,232.30 : x
  2. Step 2: Convert to fraction form
    408,890.70/613,093.05 = 251,232.30/x
  3. Step 3: Cross multiply
    408,890.70x = 613,093.05 × 251,232.30
  4. Step 4: Simplify right side
    408,890.70x = 154,028,777,065.52
  5. Step 5: Solve for x
    x = 154,028,777,065.52/408,890.70
  6. Step 6: Final answer
    x = 376,699.14

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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.