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Finding the Fourth Proportional to 613,968,199.68, 921,429,873.72 and 428,530,998

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Solution

The fourth proportional to 613,968,199.68, 921,429,873.72 and 428,530,998 is: 643,129,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,968,199.68 : 921,429,873.72 = 428,530,998 : x
  2. Step 2: Convert to fraction form
    613,968,199.68/921,429,873.72 = 428,530,998/x
  3. Step 3: Cross multiply
    613,968,199.68x = 921,429,873.72 × 428,530,998
  4. Step 4: Simplify right side
    613,968,199.68x = 394,861,263,372,245,568
  5. Step 5: Solve for x
    x = 394,861,263,372,245,568/613,968,199.68
  6. Step 6: Final answer
    x = 643,129,829.16

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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.