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Finding the Fourth Proportional to 361,187, 498,436.81 and 208,224.46

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Solution

The fourth proportional to 361,187, 498,436.81 and 208,224.46 is: 287,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,187 : 498,436.81 = 208,224.46 : x
  2. Step 2: Convert to fraction form
    361,187/498,436.81 = 208,224.46/x
  3. Step 3: Cross multiply
    361,187x = 498,436.81 × 208,224.46
  4. Step 4: Simplify right side
    361,187x = 103,786,735,606.37
  5. Step 5: Solve for x
    x = 103,786,735,606.37/361,187
  6. Step 6: Final answer
    x = 287,349.03

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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.