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Finding the Fourth Proportional to 557,968.40, 769,987.32 and 303,326

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Solution

The fourth proportional to 557,968.40, 769,987.32 and 303,326 is: 418,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,968.40 : 769,987.32 = 303,326 : x
  2. Step 2: Convert to fraction form
    557,968.40/769,987.32 = 303,326/x
  3. Step 3: Cross multiply
    557,968.40x = 769,987.32 × 303,326
  4. Step 4: Simplify right side
    557,968.40x = 233,557,173,826.32
  5. Step 5: Solve for x
    x = 233,557,173,826.32/557,968.40
  6. Step 6: Final answer
    x = 418,584.95

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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.