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Finding the Fourth Proportional to 409,414.46, 614,179.11 and 143,114.40

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Solution

The fourth proportional to 409,414.46, 614,179.11 and 143,114.40 is: 214,691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,414.46 : 614,179.11 = 143,114.40 : x
  2. Step 2: Convert to fraction form
    409,414.46/614,179.11 = 143,114.40/x
  3. Step 3: Cross multiply
    409,414.46x = 614,179.11 × 143,114.40
  4. Step 4: Simplify right side
    409,414.46x = 87,897,874,820.18
  5. Step 5: Solve for x
    x = 87,897,874,820.18/409,414.46
  6. Step 6: Final answer
    x = 214,691.67

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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.