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Finding the Fourth Proportional to 557,781.24, 769,737.78 and 303,132.48

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Solution

The fourth proportional to 557,781.24, 769,737.78 and 303,132.48 is: 418,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,781.24 : 769,737.78 = 303,132.48 : x
  2. Step 2: Convert to fraction form
    557,781.24/769,737.78 = 303,132.48/x
  3. Step 3: Cross multiply
    557,781.24x = 769,737.78 × 303,132.48
  4. Step 4: Simplify right side
    557,781.24x = 233,332,522,201.09
  5. Step 5: Solve for x
    x = 233,332,522,201.09/557,781.24
  6. Step 6: Final answer
    x = 418,322.64

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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.