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Finding the Fourth Proportional to 664,392,002.80, 996,289,405.80 and 255,312,194.80

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Solution

The fourth proportional to 664,392,002.80, 996,289,405.80 and 255,312,194.80 is: 382,853,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,392,002.80 : 996,289,405.80 = 255,312,194.80 : x
  2. Step 2: Convert to fraction form
    664,392,002.80/996,289,405.80 = 255,312,194.80/x
  3. Step 3: Cross multiply
    664,392,002.80x = 996,289,405.80 × 255,312,194.80
  4. Step 4: Simplify right side
    664,392,002.80x = 254,364,834,850,785,856
  5. Step 5: Solve for x
    x = 254,364,834,850,785,856/664,392,002.80
  6. Step 6: Final answer
    x = 382,853,546.97

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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.