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Finding the Fourth Proportional to 287,974.81, 431,777.68 and 119,611.36

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Solution

The fourth proportional to 287,974.81, 431,777.68 and 119,611.36 is: 179,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,974.81 : 431,777.68 = 119,611.36 : x
  2. Step 2: Convert to fraction form
    287,974.81/431,777.68 = 119,611.36/x
  3. Step 3: Cross multiply
    287,974.81x = 431,777.68 × 119,611.36
  4. Step 4: Simplify right side
    287,974.81x = 51,645,515,522.44
  5. Step 5: Solve for x
    x = 51,645,515,522.44/287,974.81
  6. Step 6: Final answer
    x = 179,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.