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Finding the Fourth Proportional to 278,315.88, 384,076.05 and 150,991.44

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Solution

The fourth proportional to 278,315.88, 384,076.05 and 150,991.44 is: 208,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,315.88 : 384,076.05 = 150,991.44 : x
  2. Step 2: Convert to fraction form
    278,315.88/384,076.05 = 150,991.44/x
  3. Step 3: Cross multiply
    278,315.88x = 384,076.05 × 150,991.44
  4. Step 4: Simplify right side
    278,315.88x = 57,992,195,859.01
  5. Step 5: Solve for x
    x = 57,992,195,859.01/278,315.88
  6. Step 6: Final answer
    x = 208,368.26

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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.