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Finding the Fourth Proportional to 463,821.96, 639,791.39 and 306,657.33

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Solution

The fourth proportional to 463,821.96, 639,791.39 and 306,657.33 is: 423,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,821.96 : 639,791.39 = 306,657.33 : x
  2. Step 2: Convert to fraction form
    463,821.96/639,791.39 = 306,657.33/x
  3. Step 3: Cross multiply
    463,821.96x = 639,791.39 × 306,657.33
  4. Step 4: Simplify right side
    463,821.96x = 196,196,717,781.81
  5. Step 5: Solve for x
    x = 196,196,717,781.81/463,821.96
  6. Step 6: Final answer
    x = 423,000.06

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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.