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Finding the Fourth Proportional to 221,952,012.80, 332,928,019.20 and 181,608,051.20

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Solution

The fourth proportional to 221,952,012.80, 332,928,019.20 and 181,608,051.20 is: 272,412,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,952,012.80 : 332,928,019.20 = 181,608,051.20 : x
  2. Step 2: Convert to fraction form
    221,952,012.80/332,928,019.20 = 181,608,051.20/x
  3. Step 3: Cross multiply
    221,952,012.80x = 332,928,019.20 × 181,608,051.20
  4. Step 4: Simplify right side
    221,952,012.80x = 60,462,408,756,788,176
  5. Step 5: Solve for x
    x = 60,462,408,756,788,176/221,952,012.80
  6. Step 6: Final answer
    x = 272,412,076.80

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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.