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Finding the Fourth Proportional to 311,024.70, 466,537.05 and 211,491.90

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Solution

The fourth proportional to 311,024.70, 466,537.05 and 211,491.90 is: 317,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024.70 : 466,537.05 = 211,491.90 : x
  2. Step 2: Convert to fraction form
    311,024.70/466,537.05 = 211,491.90/x
  3. Step 3: Cross multiply
    311,024.70x = 466,537.05 × 211,491.90
  4. Step 4: Simplify right side
    311,024.70x = 98,668,807,124.90
  5. Step 5: Solve for x
    x = 98,668,807,124.90/311,024.70
  6. Step 6: Final answer
    x = 317,237.85

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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.