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Finding the Fourth Proportional to 311,216.30, 466,715.10 and 142,817.30

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Solution

The fourth proportional to 311,216.30, 466,715.10 and 142,817.30 is: 214,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,216.30 : 466,715.10 = 142,817.30 : x
  2. Step 2: Convert to fraction form
    311,216.30/466,715.10 = 142,817.30/x
  3. Step 3: Cross multiply
    311,216.30x = 466,715.10 × 142,817.30
  4. Step 4: Simplify right side
    311,216.30x = 66,654,990,451.23
  5. Step 5: Solve for x
    x = 66,654,990,451.23/311,216.30
  6. Step 6: Final answer
    x = 214,175.77

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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.