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Finding the Fourth Proportional to 361,196.64, 498,455.10 and 217,929

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Solution

The fourth proportional to 361,196.64, 498,455.10 and 217,929 is: 300,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,196.64 : 498,455.10 = 217,929 : x
  2. Step 2: Convert to fraction form
    361,196.64/498,455.10 = 217,929/x
  3. Step 3: Cross multiply
    361,196.64x = 498,455.10 × 217,929
  4. Step 4: Simplify right side
    361,196.64x = 108,627,821,487.90
  5. Step 5: Solve for x
    x = 108,627,821,487.90/361,196.64
  6. Step 6: Final answer
    x = 300,744.27

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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.