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Finding the Fourth Proportional to 255,489.23, 383,397.87 and 171,344.41

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Solution

The fourth proportional to 255,489.23, 383,397.87 and 171,344.41 is: 257,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,489.23 : 383,397.87 = 171,344.41 : x
  2. Step 2: Convert to fraction form
    255,489.23/383,397.87 = 171,344.41/x
  3. Step 3: Cross multiply
    255,489.23x = 383,397.87 × 171,344.41
  4. Step 4: Simplify right side
    255,489.23x = 65,693,081,514.45
  5. Step 5: Solve for x
    x = 65,693,081,514.45/255,489.23
  6. Step 6: Final answer
    x = 257,126.61

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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.