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Finding the Fourth Proportional to 475,255.89, 656,435.79 and 384,714.09

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Solution

The fourth proportional to 475,255.89, 656,435.79 and 384,714.09 is: 531,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,255.89 : 656,435.79 = 384,714.09 : x
  2. Step 2: Convert to fraction form
    475,255.89/656,435.79 = 384,714.09/x
  3. Step 3: Cross multiply
    475,255.89x = 656,435.79 × 384,714.09
  4. Step 4: Simplify right side
    475,255.89x = 252,540,097,593.28
  5. Step 5: Solve for x
    x = 252,540,097,593.28/475,255.89
  6. Step 6: Final answer
    x = 531,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.