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Finding the Fourth Proportional to 442,714.78, 664,072.77 and 189,831.97

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Solution

The fourth proportional to 442,714.78, 664,072.77 and 189,831.97 is: 284,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,714.78 : 664,072.77 = 189,831.97 : x
  2. Step 2: Convert to fraction form
    442,714.78/664,072.77 = 189,831.97/x
  3. Step 3: Cross multiply
    442,714.78x = 664,072.77 × 189,831.97
  4. Step 4: Simplify right side
    442,714.78x = 126,062,242,152.46
  5. Step 5: Solve for x
    x = 126,062,242,152.46/442,714.78
  6. Step 6: Final answer
    x = 284,748.21

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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.