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Finding the Fourth Proportional to 413,705,500.80, 620,558,251.20 and 407,658,883.20

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Solution

The fourth proportional to 413,705,500.80, 620,558,251.20 and 407,658,883.20 is: 611,488,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,705,500.80 : 620,558,251.20 = 407,658,883.20 : x
  2. Step 2: Convert to fraction form
    413,705,500.80/620,558,251.20 = 407,658,883.20/x
  3. Step 3: Cross multiply
    413,705,500.80x = 620,558,251.20 × 407,658,883.20
  4. Step 4: Simplify right side
    413,705,500.80x = 252,976,083,644,737,056
  5. Step 5: Solve for x
    x = 252,976,083,644,737,056/413,705,500.80
  6. Step 6: Final answer
    x = 611,488,324.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.