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Finding the Fourth Proportional to 278,447.96, 384,259.74 and 157,589.48

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Solution

The fourth proportional to 278,447.96, 384,259.74 and 157,589.48 is: 217,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,447.96 : 384,259.74 = 157,589.48 : x
  2. Step 2: Convert to fraction form
    278,447.96/384,259.74 = 157,589.48/x
  3. Step 3: Cross multiply
    278,447.96x = 384,259.74 × 157,589.48
  4. Step 4: Simplify right side
    278,447.96x = 60,555,292,611.54
  5. Step 5: Solve for x
    x = 60,555,292,611.54/278,447.96
  6. Step 6: Final answer
    x = 217,474.36

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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.