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Finding the Fourth Proportional to 361,300.56, 498,593.16 and 208,338

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Solution

The fourth proportional to 361,300.56, 498,593.16 and 208,338 is: 287,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,300.56 : 498,593.16 = 208,338 : x
  2. Step 2: Convert to fraction form
    361,300.56/498,593.16 = 208,338/x
  3. Step 3: Cross multiply
    361,300.56x = 498,593.16 × 208,338
  4. Step 4: Simplify right side
    361,300.56x = 103,875,901,768.08
  5. Step 5: Solve for x
    x = 103,875,901,768.08/361,300.56
  6. Step 6: Final answer
    x = 287,505.51

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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.