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Finding the Fourth Proportional to 664,393,064.80, 996,290,998.80 and 255,313,256.80

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Solution

The fourth proportional to 664,393,064.80, 996,290,998.80 and 255,313,256.80 is: 382,855,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,393,064.80 : 996,290,998.80 = 255,313,256.80 : x
  2. Step 2: Convert to fraction form
    664,393,064.80/996,290,998.80 = 255,313,256.80/x
  3. Step 3: Cross multiply
    664,393,064.80x = 996,290,998.80 × 255,313,256.80
  4. Step 4: Simplify right side
    664,393,064.80x = 254,366,299,624,152,896
  5. Step 5: Solve for x
    x = 254,366,299,624,152,896/664,393,064.80
  6. Step 6: Final answer
    x = 382,855,139.68

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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.