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Finding the Fourth Proportional to 557,863.89, 769,854.83 and 303,214.88

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Solution

The fourth proportional to 557,863.89, 769,854.83 and 303,214.88 is: 418,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,863.89 : 769,854.83 = 303,214.88 : x
  2. Step 2: Convert to fraction form
    557,863.89/769,854.83 = 303,214.88/x
  3. Step 3: Cross multiply
    557,863.89x = 769,854.83 × 303,214.88
  4. Step 4: Simplify right side
    557,863.89x = 233,431,439,895.87
  5. Step 5: Solve for x
    x = 233,431,439,895.87/557,863.89
  6. Step 6: Final answer
    x = 418,437.98

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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.