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Finding the Fourth Proportional to 354,241.74, 531,265.32 and 211,974.96

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Solution

The fourth proportional to 354,241.74, 531,265.32 and 211,974.96 is: 317,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,241.74 : 531,265.32 = 211,974.96 : x
  2. Step 2: Convert to fraction form
    354,241.74/531,265.32 = 211,974.96/x
  3. Step 3: Cross multiply
    354,241.74x = 531,265.32 × 211,974.96
  4. Step 4: Simplify right side
    354,241.74x = 112,614,944,956.39
  5. Step 5: Solve for x
    x = 112,614,944,956.39/354,241.74
  6. Step 6: Final answer
    x = 317,904.22

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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.