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Finding the Fourth Proportional to 491,894.72, 678,863 and 287,933.36

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Solution

The fourth proportional to 491,894.72, 678,863 and 287,933.36 is: 397,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,894.72 : 678,863 = 287,933.36 : x
  2. Step 2: Convert to fraction form
    491,894.72/678,863 = 287,933.36/x
  3. Step 3: Cross multiply
    491,894.72x = 678,863 × 287,933.36
  4. Step 4: Simplify right side
    491,894.72x = 195,467,304,569.68
  5. Step 5: Solve for x
    x = 195,467,304,569.68/491,894.72
  6. Step 6: Final answer
    x = 397,376.30

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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.