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Finding the Fourth Proportional to 639,728.11, 959,853.18 and 412,142.68

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Solution

The fourth proportional to 639,728.11, 959,853.18 and 412,142.68 is: 618,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,728.11 : 959,853.18 = 412,142.68 : x
  2. Step 2: Convert to fraction form
    639,728.11/959,853.18 = 412,142.68/x
  3. Step 3: Cross multiply
    639,728.11x = 959,853.18 × 412,142.68
  4. Step 4: Simplify right side
    639,728.11x = 395,596,462,011.72
  5. Step 5: Solve for x
    x = 395,596,462,011.72/639,728.11
  6. Step 6: Final answer
    x = 618,382.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.