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Finding the Fourth Proportional to 531,086.60, 796,997.82 and 211,205.70

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Solution

The fourth proportional to 531,086.60, 796,997.82 and 211,205.70 is: 316,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,086.60 : 796,997.82 = 211,205.70 : x
  2. Step 2: Convert to fraction form
    531,086.60/796,997.82 = 211,205.70/x
  3. Step 3: Cross multiply
    531,086.60x = 796,997.82 × 211,205.70
  4. Step 4: Simplify right side
    531,086.60x = 168,330,482,471.57
  5. Step 5: Solve for x
    x = 168,330,482,471.57/531,086.60
  6. Step 6: Final answer
    x = 316,954.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.