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Finding the Fourth Proportional to 354,223.34, 531,237.84 and 211,956.69

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Solution

The fourth proportional to 354,223.34, 531,237.84 and 211,956.69 is: 317,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,223.34 : 531,237.84 = 211,956.69 : x
  2. Step 2: Convert to fraction form
    354,223.34/531,237.84 = 211,956.69/x
  3. Step 3: Cross multiply
    354,223.34x = 531,237.84 × 211,956.69
  4. Step 4: Simplify right side
    354,223.34x = 112,599,414,169.15
  5. Step 5: Solve for x
    x = 112,599,414,169.15/354,223.34
  6. Step 6: Final answer
    x = 317,876.89

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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.