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Finding the Fourth Proportional to 417,995.43, 577,072.78 and 275,170.65

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Solution

The fourth proportional to 417,995.43, 577,072.78 and 275,170.65 is: 379,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,995.43 : 577,072.78 = 275,170.65 : x
  2. Step 2: Convert to fraction form
    417,995.43/577,072.78 = 275,170.65/x
  3. Step 3: Cross multiply
    417,995.43x = 577,072.78 × 275,170.65
  4. Step 4: Simplify right side
    417,995.43x = 158,793,491,281.98
  5. Step 5: Solve for x
    x = 158,793,491,281.98/417,995.43
  6. Step 6: Final answer
    x = 379,892.89

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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.