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Finding the Fourth Proportional to 465,208.89, 642,232.09 and 313,047.15

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Solution

The fourth proportional to 465,208.89, 642,232.09 and 313,047.15 is: 432,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,208.89 : 642,232.09 = 313,047.15 : x
  2. Step 2: Convert to fraction form
    465,208.89/642,232.09 = 313,047.15/x
  3. Step 3: Cross multiply
    465,208.89x = 642,232.09 × 313,047.15
  4. Step 4: Simplify right side
    465,208.89x = 201,048,923,395.98
  5. Step 5: Solve for x
    x = 201,048,923,395.98/465,208.89
  6. Step 6: Final answer
    x = 432,169.14

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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.