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Finding the Fourth Proportional to 465,524.28, 642,669 and 313,362.48

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Solution

The fourth proportional to 465,524.28, 642,669 and 313,362.48 is: 432,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,524.28 : 642,669 = 313,362.48 : x
  2. Step 2: Convert to fraction form
    465,524.28/642,669 = 313,362.48/x
  3. Step 3: Cross multiply
    465,524.28x = 642,669 × 313,362.48
  4. Step 4: Simplify right side
    465,524.28x = 201,388,351,659.12
  5. Step 5: Solve for x
    x = 201,388,351,659.12/465,524.28
  6. Step 6: Final answer
    x = 432,605.47

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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.