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Finding the Fourth Proportional to 463,921.67, 640,227.67 and 442,664.03

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Solution

The fourth proportional to 463,921.67, 640,227.67 and 442,664.03 is: 610,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,921.67 : 640,227.67 = 442,664.03 : x
  2. Step 2: Convert to fraction form
    463,921.67/640,227.67 = 442,664.03/x
  3. Step 3: Cross multiply
    463,921.67x = 640,227.67 × 442,664.03
  4. Step 4: Simplify right side
    463,921.67x = 283,405,758,306.39
  5. Step 5: Solve for x
    x = 283,405,758,306.39/463,921.67
  6. Step 6: Final answer
    x = 610,891.40

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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.