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Finding the Fourth Proportional to 664,405,223.10, 996,782,017.05 and 255,474,714.30

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Solution

The fourth proportional to 664,405,223.10, 996,782,017.05 and 255,474,714.30 is: 383,279,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,405,223.10 : 996,782,017.05 = 255,474,714.30 : x
  2. Step 2: Convert to fraction form
    664,405,223.10/996,782,017.05 = 255,474,714.30/x
  3. Step 3: Cross multiply
    664,405,223.10x = 996,782,017.05 × 255,474,714.30
  4. Step 4: Simplify right side
    664,405,223.10x = 254,652,601,025,226,464
  5. Step 5: Solve for x
    x = 254,652,601,025,226,464/664,405,223.10
  6. Step 6: Final answer
    x = 383,279,047.44

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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.