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Finding the Fourth Proportional to 273,213.04, 409,819.56 and 213,342.70

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Solution

The fourth proportional to 273,213.04, 409,819.56 and 213,342.70 is: 320,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,213.04 : 409,819.56 = 213,342.70 : x
  2. Step 2: Convert to fraction form
    273,213.04/409,819.56 = 213,342.70/x
  3. Step 3: Cross multiply
    273,213.04x = 409,819.56 × 213,342.70
  4. Step 4: Simplify right side
    273,213.04x = 87,432,011,443.21
  5. Step 5: Solve for x
    x = 87,432,011,443.21/273,213.04
  6. Step 6: Final answer
    x = 320,014.05

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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.