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Finding the Fourth Proportional to 394,415,999.80, 591,623,999.70 and 213,017,471.80

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Solution

The fourth proportional to 394,415,999.80, 591,623,999.70 and 213,017,471.80 is: 319,526,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,415,999.80 : 591,623,999.70 = 213,017,471.80 : x
  2. Step 2: Convert to fraction form
    394,415,999.80/591,623,999.70 = 213,017,471.80/x
  3. Step 3: Cross multiply
    394,415,999.80x = 591,623,999.70 × 213,017,471.80
  4. Step 4: Simplify right side
    394,415,999.80x = 126,026,248,672,297,968
  5. Step 5: Solve for x
    x = 126,026,248,672,297,968/394,415,999.80
  6. Step 6: Final answer
    x = 319,526,207.70

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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.