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Finding the Fourth Proportional to 311,215.30, 466,713.60 and 142,816.30

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Solution

The fourth proportional to 311,215.30, 466,713.60 and 142,816.30 is: 214,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,215.30 : 466,713.60 = 142,816.30 : x
  2. Step 2: Convert to fraction form
    311,215.30/466,713.60 = 142,816.30/x
  3. Step 3: Cross multiply
    311,215.30x = 466,713.60 × 142,816.30
  4. Step 4: Simplify right side
    311,215.30x = 66,654,309,511.68
  5. Step 5: Solve for x
    x = 66,654,309,511.68/311,215.30
  6. Step 6: Final answer
    x = 214,174.27

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1.5x scale

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.