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Finding the Fourth Proportional to 559,872,879.80, 839,809,319.70 and 512,255,766.20

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Solution

The fourth proportional to 559,872,879.80, 839,809,319.70 and 512,255,766.20 is: 768,383,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,879.80 : 839,809,319.70 = 512,255,766.20 : x
  2. Step 2: Convert to fraction form
    559,872,879.80/839,809,319.70 = 512,255,766.20/x
  3. Step 3: Cross multiply
    559,872,879.80x = 839,809,319.70 × 512,255,766.20
  4. Step 4: Simplify right side
    559,872,879.80x = 430,197,166,524,824,256
  5. Step 5: Solve for x
    x = 430,197,166,524,824,256/559,872,879.80
  6. Step 6: Final answer
    x = 768,383,649.30

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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.