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Finding the Fourth Proportional to 463,657.97, 640,067.13 and 310,796.01

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Solution

The fourth proportional to 463,657.97, 640,067.13 and 310,796.01 is: 429,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,657.97 : 640,067.13 = 310,796.01 : x
  2. Step 2: Convert to fraction form
    463,657.97/640,067.13 = 310,796.01/x
  3. Step 3: Cross multiply
    463,657.97x = 640,067.13 × 310,796.01
  4. Step 4: Simplify right side
    463,657.97x = 198,930,310,136.15
  5. Step 5: Solve for x
    x = 198,930,310,136.15/463,657.97
  6. Step 6: Final answer
    x = 429,045.39

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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.