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Finding the Fourth Proportional to 465,728.11, 642,758.36 and 259,017.48

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Solution

The fourth proportional to 465,728.11, 642,758.36 and 259,017.48 is: 357,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,728.11 : 642,758.36 = 259,017.48 : x
  2. Step 2: Convert to fraction form
    465,728.11/642,758.36 = 259,017.48/x
  3. Step 3: Cross multiply
    465,728.11x = 642,758.36 × 259,017.48
  4. Step 4: Simplify right side
    465,728.11x = 166,485,649,361.05
  5. Step 5: Solve for x
    x = 166,485,649,361.05/465,728.11
  6. Step 6: Final answer
    x = 357,473.91

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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.