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Finding the Fourth Proportional to 257,005.44, 385,738.56 and 215,147.52

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Solution

The fourth proportional to 257,005.44, 385,738.56 and 215,147.52 is: 322,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,005.44 : 385,738.56 = 215,147.52 : x
  2. Step 2: Convert to fraction form
    257,005.44/385,738.56 = 215,147.52/x
  3. Step 3: Cross multiply
    257,005.44x = 385,738.56 × 215,147.52
  4. Step 4: Simplify right side
    257,005.44x = 82,990,694,552.37
  5. Step 5: Solve for x
    x = 82,990,694,552.37/257,005.44
  6. Step 6: Final answer
    x = 322,914.16

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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.