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Finding the Fourth Proportional to 278,846.82, 384,777.37 and 157,962.22

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Solution

The fourth proportional to 278,846.82, 384,777.37 and 157,962.22 is: 217,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,846.82 : 384,777.37 = 157,962.22 : x
  2. Step 2: Convert to fraction form
    278,846.82/384,777.37 = 157,962.22/x
  3. Step 3: Cross multiply
    278,846.82x = 384,777.37 × 157,962.22
  4. Step 4: Simplify right side
    278,846.82x = 60,780,287,570.96
  5. Step 5: Solve for x
    x = 60,780,287,570.96/278,846.82
  6. Step 6: Final answer
    x = 217,970.17

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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.