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Finding the Fourth Proportional to 278,548.44, 384,405.68 and 157,687.54

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Solution

The fourth proportional to 278,548.44, 384,405.68 and 157,687.54 is: 217,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,548.44 : 384,405.68 = 157,687.54 : x
  2. Step 2: Convert to fraction form
    278,548.44/384,405.68 = 157,687.54/x
  3. Step 3: Cross multiply
    278,548.44x = 384,405.68 × 157,687.54
  4. Step 4: Simplify right side
    278,548.44x = 60,615,986,041.23
  5. Step 5: Solve for x
    x = 60,615,986,041.23/278,548.44
  6. Step 6: Final answer
    x = 217,613.81

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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.