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Finding the Fourth Proportional to 273,115.40, 409,673.10 and 217,819.40

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Solution

The fourth proportional to 273,115.40, 409,673.10 and 217,819.40 is: 326,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,115.40 : 409,673.10 = 217,819.40 : x
  2. Step 2: Convert to fraction form
    273,115.40/409,673.10 = 217,819.40/x
  3. Step 3: Cross multiply
    273,115.40x = 409,673.10 × 217,819.40
  4. Step 4: Simplify right side
    273,115.40x = 89,234,748,838.14
  5. Step 5: Solve for x
    x = 89,234,748,838.14/273,115.40
  6. Step 6: Final answer
    x = 326,729.10

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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.