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Finding the Fourth Proportional to 485,072.43, 727,608.69 and 185,644.86

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Solution

The fourth proportional to 485,072.43, 727,608.69 and 185,644.86 is: 278,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,072.43 : 727,608.69 = 185,644.86 : x
  2. Step 2: Convert to fraction form
    485,072.43/727,608.69 = 185,644.86/x
  3. Step 3: Cross multiply
    485,072.43x = 727,608.69 × 185,644.86
  4. Step 4: Simplify right side
    485,072.43x = 135,076,813,389.83
  5. Step 5: Solve for x
    x = 135,076,813,389.83/485,072.43
  6. Step 6: Final answer
    x = 278,467.31

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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.