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Finding the Fourth Proportional to 199,300,998.60, 298,951,497.90 and 147,644,933.40

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Solution

The fourth proportional to 199,300,998.60, 298,951,497.90 and 147,644,933.40 is: 221,467,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,300,998.60 : 298,951,497.90 = 147,644,933.40 : x
  2. Step 2: Convert to fraction form
    199,300,998.60/298,951,497.90 = 147,644,933.40/x
  3. Step 3: Cross multiply
    199,300,998.60x = 298,951,497.90 × 147,644,933.40
  4. Step 4: Simplify right side
    199,300,998.60x = 44,138,673,997,275,736
  5. Step 5: Solve for x
    x = 44,138,673,997,275,736/199,300,998.60
  6. Step 6: Final answer
    x = 221,467,400.10

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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.