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Finding the Fourth Proportional to 257,993.76, 386,863.76 and 151,584.96

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Solution

The fourth proportional to 257,993.76, 386,863.76 and 151,584.96 is: 227,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,993.76 : 386,863.76 = 151,584.96 : x
  2. Step 2: Convert to fraction form
    257,993.76/386,863.76 = 151,584.96/x
  3. Step 3: Cross multiply
    257,993.76x = 386,863.76 × 151,584.96
  4. Step 4: Simplify right side
    257,993.76x = 58,642,727,585.05
  5. Step 5: Solve for x
    x = 58,642,727,585.05/257,993.76
  6. Step 6: Final answer
    x = 227,302.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.