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Finding the Fourth Proportional to 557,885, 769,882.20 and 303,235.58

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Solution

The fourth proportional to 557,885, 769,882.20 and 303,235.58 is: 418,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,885 : 769,882.20 = 303,235.58 : x
  2. Step 2: Convert to fraction form
    557,885/769,882.20 = 303,235.58/x
  3. Step 3: Cross multiply
    557,885x = 769,882.20 × 303,235.58
  4. Step 4: Simplify right side
    557,885x = 233,455,675,448.68
  5. Step 5: Solve for x
    x = 233,455,675,448.68/557,885
  6. Step 6: Final answer
    x = 418,465.59

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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.