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Finding the Fourth Proportional to 278,846.88, 384,777.47 and 157,962.29

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Solution

The fourth proportional to 278,846.88, 384,777.47 and 157,962.29 is: 217,970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,846.88 : 384,777.47 = 157,962.29 : x
  2. Step 2: Convert to fraction form
    278,846.88/384,777.47 = 157,962.29/x
  3. Step 3: Cross multiply
    278,846.88x = 384,777.47 × 157,962.29
  4. Step 4: Simplify right side
    278,846.88x = 60,780,327,587.91
  5. Step 5: Solve for x
    x = 60,780,327,587.91/278,846.88
  6. Step 6: Final answer
    x = 217,970.26

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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.