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Finding the Fourth Proportional to 613,968,197.68, 921,429,870.72 and 428,530,996

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Solution

The fourth proportional to 613,968,197.68, 921,429,870.72 and 428,530,996 is: 643,129,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,968,197.68 : 921,429,870.72 = 428,530,996 : x
  2. Step 2: Convert to fraction form
    613,968,197.68/921,429,870.72 = 428,530,996/x
  3. Step 3: Cross multiply
    613,968,197.68x = 921,429,870.72 × 428,530,996
  4. Step 4: Simplify right side
    613,968,197.68x = 394,861,260,243,792,832
  5. Step 5: Solve for x
    x = 394,861,260,243,792,832/613,968,197.68
  6. Step 6: Final answer
    x = 643,129,826.16

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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.