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Finding the Fourth Proportional to 278,315.63, 384,076.31 and 150,991.22

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Solution

The fourth proportional to 278,315.63, 384,076.31 and 150,991.22 is: 208,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,315.63 : 384,076.31 = 150,991.22 : x
  2. Step 2: Convert to fraction form
    278,315.63/384,076.31 = 150,991.22/x
  3. Step 3: Cross multiply
    278,315.63x = 384,076.31 × 150,991.22
  4. Step 4: Simplify right side
    278,315.63x = 57,992,149,865.04
  5. Step 5: Solve for x
    x = 57,992,149,865.04/278,315.63
  6. Step 6: Final answer
    x = 208,368.29

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1.5x scale

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.