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Finding the Fourth Proportional to 361,677.42, 499,090.41 and 208,721.97

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Solution

The fourth proportional to 361,677.42, 499,090.41 and 208,721.97 is: 288,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,677.42 : 499,090.41 = 208,721.97 : x
  2. Step 2: Convert to fraction form
    361,677.42/499,090.41 = 208,721.97/x
  3. Step 3: Cross multiply
    361,677.42x = 499,090.41 × 208,721.97
  4. Step 4: Simplify right side
    361,677.42x = 104,171,133,583.31
  5. Step 5: Solve for x
    x = 104,171,133,583.31/361,677.42
  6. Step 6: Final answer
    x = 288,022.22

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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.