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Finding the Fourth Proportional to 408,978,314.70, 613,467,472.05 and 236,366,277.90

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Solution

The fourth proportional to 408,978,314.70, 613,467,472.05 and 236,366,277.90 is: 354,549,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,978,314.70 : 613,467,472.05 = 236,366,277.90 : x
  2. Step 2: Convert to fraction form
    408,978,314.70/613,467,472.05 = 236,366,277.90/x
  3. Step 3: Cross multiply
    408,978,314.70x = 613,467,472.05 × 236,366,277.90
  4. Step 4: Simplify right side
    408,978,314.70x = 145,003,022,981,180,768
  5. Step 5: Solve for x
    x = 145,003,022,981,180,768/408,978,314.70
  6. Step 6: Final answer
    x = 354,549,416.85

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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.