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Finding the Fourth Proportional to 557,863.39, 769,854.14 and 303,214.38

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Solution

The fourth proportional to 557,863.39, 769,854.14 and 303,214.38 is: 418,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,863.39 : 769,854.14 = 303,214.38 : x
  2. Step 2: Convert to fraction form
    557,863.39/769,854.14 = 303,214.38/x
  3. Step 3: Cross multiply
    557,863.39x = 769,854.14 × 303,214.38
  4. Step 4: Simplify right side
    557,863.39x = 233,430,845,750.53
  5. Step 5: Solve for x
    x = 233,430,845,750.53/557,863.39
  6. Step 6: Final answer
    x = 418,437.29

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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.