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Finding the Fourth Proportional to 613,964.82, 847,272.78 and 355,891.54

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Solution

The fourth proportional to 613,964.82, 847,272.78 and 355,891.54 is: 491,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,964.82 : 847,272.78 = 355,891.54 : x
  2. Step 2: Convert to fraction form
    613,964.82/847,272.78 = 355,891.54/x
  3. Step 3: Cross multiply
    613,964.82x = 847,272.78 × 355,891.54
  4. Step 4: Simplify right side
    613,964.82x = 301,537,214,474.28
  5. Step 5: Solve for x
    x = 301,537,214,474.28/613,964.82
  6. Step 6: Final answer
    x = 491,131.10

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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.