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Finding the Fourth Proportional to 413,883,670.80, 620,298,001.80 and 219,888,022.80

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Solution

The fourth proportional to 413,883,670.80, 620,298,001.80 and 219,888,022.80 is: 329,551,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,883,670.80 : 620,298,001.80 = 219,888,022.80 : x
  2. Step 2: Convert to fraction form
    413,883,670.80/620,298,001.80 = 219,888,022.80/x
  3. Step 3: Cross multiply
    413,883,670.80x = 620,298,001.80 × 219,888,022.80
  4. Step 4: Simplify right side
    413,883,670.80x = 136,396,101,162,592,832
  5. Step 5: Solve for x
    x = 136,396,101,162,592,832/413,883,670.80
  6. Step 6: Final answer
    x = 329,551,781.78

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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.