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Finding the Fourth Proportional to 493,967,999.20, 740,951,998.80 and 130,462,355.20

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Solution

The fourth proportional to 493,967,999.20, 740,951,998.80 and 130,462,355.20 is: 195,693,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,967,999.20 : 740,951,998.80 = 130,462,355.20 : x
  2. Step 2: Convert to fraction form
    493,967,999.20/740,951,998.80 = 130,462,355.20/x
  3. Step 3: Cross multiply
    493,967,999.20x = 740,951,998.80 × 130,462,355.20
  4. Step 4: Simplify right side
    493,967,999.20x = 96,666,342,853,595,568
  5. Step 5: Solve for x
    x = 96,666,342,853,595,568/493,967,999.20
  6. Step 6: Final answer
    x = 195,693,532.80

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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.