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Finding the Fourth Proportional to 497,164.82, 685,798.90 and 313,331.36

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Solution

The fourth proportional to 497,164.82, 685,798.90 and 313,331.36 is: 432,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,164.82 : 685,798.90 = 313,331.36 : x
  2. Step 2: Convert to fraction form
    497,164.82/685,798.90 = 313,331.36/x
  3. Step 3: Cross multiply
    497,164.82x = 685,798.90 × 313,331.36
  4. Step 4: Simplify right side
    497,164.82x = 214,882,304,770.85
  5. Step 5: Solve for x
    x = 214,882,304,770.85/497,164.82
  6. Step 6: Final answer
    x = 432,215.43

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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.