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Finding the Fourth Proportional to 278,739.78, 384,650.01 and 157,887.78

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Solution

The fourth proportional to 278,739.78, 384,650.01 and 157,887.78 is: 217,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,739.78 : 384,650.01 = 157,887.78 : x
  2. Step 2: Convert to fraction form
    278,739.78/384,650.01 = 157,887.78/x
  3. Step 3: Cross multiply
    278,739.78x = 384,650.01 × 157,887.78
  4. Step 4: Simplify right side
    278,739.78x = 60,731,536,155.88
  5. Step 5: Solve for x
    x = 60,731,536,155.88/278,739.78
  6. Step 6: Final answer
    x = 217,878.97

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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.