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Finding the Fourth Proportional to 272,814.70, 409,222.05 and 188,833.90

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Solution

The fourth proportional to 272,814.70, 409,222.05 and 188,833.90 is: 283,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,814.70 : 409,222.05 = 188,833.90 : x
  2. Step 2: Convert to fraction form
    272,814.70/409,222.05 = 188,833.90/x
  3. Step 3: Cross multiply
    272,814.70x = 409,222.05 × 188,833.90
  4. Step 4: Simplify right side
    272,814.70x = 77,274,995,667.50
  5. Step 5: Solve for x
    x = 77,274,995,667.50/272,814.70
  6. Step 6: Final answer
    x = 283,250.85

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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.