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Finding the Fourth Proportional to 522,263,132.66, 721,757,202.92 and 428,028,647.69

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Solution

The fourth proportional to 522,263,132.66, 721,757,202.92 and 428,028,647.69 is: 591,527,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,263,132.66 : 721,757,202.92 = 428,028,647.69 : x
  2. Step 2: Convert to fraction form
    522,263,132.66/721,757,202.92 = 428,028,647.69/x
  3. Step 3: Cross multiply
    522,263,132.66x = 721,757,202.92 × 428,028,647.69
  4. Step 4: Simplify right side
    522,263,132.66x = 308,932,759,522,755,712
  5. Step 5: Solve for x
    x = 308,932,759,522,755,712/522,263,132.66
  6. Step 6: Final answer
    x = 591,527,029.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.