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Finding the Fourth Proportional to 547,709.50, 821,667.93 and 252,221.50

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Solution

The fourth proportional to 547,709.50, 821,667.93 and 252,221.50 is: 378,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,709.50 : 821,667.93 = 252,221.50 : x
  2. Step 2: Convert to fraction form
    547,709.50/821,667.93 = 252,221.50/x
  3. Step 3: Cross multiply
    547,709.50x = 821,667.93 × 252,221.50
  4. Step 4: Simplify right side
    547,709.50x = 207,242,317,806.50
  5. Step 5: Solve for x
    x = 207,242,317,806.50/547,709.50
  6. Step 6: Final answer
    x = 378,379.99

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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.