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Finding the Fourth Proportional to 361,964.80, 499,511.76 and 211,090.96

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Solution

The fourth proportional to 361,964.80, 499,511.76 and 211,090.96 is: 291,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,964.80 : 499,511.76 = 211,090.96 : x
  2. Step 2: Convert to fraction form
    361,964.80/499,511.76 = 211,090.96/x
  3. Step 3: Cross multiply
    361,964.80x = 499,511.76 × 211,090.96
  4. Step 4: Simplify right side
    361,964.80x = 105,442,416,949.69
  5. Step 5: Solve for x
    x = 105,442,416,949.69/361,964.80
  6. Step 6: Final answer
    x = 291,305.72

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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.