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Finding the Fourth Proportional to 311,213.30, 466,710.60 and 142,814.30

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Solution

The fourth proportional to 311,213.30, 466,710.60 and 142,814.30 is: 214,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,213.30 : 466,710.60 = 142,814.30 : x
  2. Step 2: Convert to fraction form
    311,213.30/466,710.60 = 142,814.30/x
  3. Step 3: Cross multiply
    311,213.30x = 466,710.60 × 142,814.30
  4. Step 4: Simplify right side
    311,213.30x = 66,652,947,641.58
  5. Step 5: Solve for x
    x = 66,652,947,641.58/311,213.30
  6. Step 6: Final answer
    x = 214,171.27

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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.