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Finding the Fourth Proportional to 221,951,998.80, 332,927,998.20 and 181,608,037.20

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Solution

The fourth proportional to 221,951,998.80, 332,927,998.20 and 181,608,037.20 is: 272,412,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,951,998.80 : 332,927,998.20 = 181,608,037.20 : x
  2. Step 2: Convert to fraction form
    221,951,998.80/332,927,998.20 = 181,608,037.20/x
  3. Step 3: Cross multiply
    221,951,998.80x = 332,927,998.20 × 181,608,037.20
  4. Step 4: Simplify right side
    221,951,998.80x = 60,462,400,282,027,128
  5. Step 5: Solve for x
    x = 60,462,400,282,027,128/221,951,998.80
  6. Step 6: Final answer
    x = 272,412,055.80

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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.