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Finding the Fourth Proportional to 308,144.70, 462,217.06 and 83,505.13

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Solution

The fourth proportional to 308,144.70, 462,217.06 and 83,505.13 is: 125,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,144.70 : 462,217.06 = 83,505.13 : x
  2. Step 2: Convert to fraction form
    308,144.70/462,217.06 = 83,505.13/x
  3. Step 3: Cross multiply
    308,144.70x = 462,217.06 × 83,505.13
  4. Step 4: Simplify right side
    308,144.70x = 38,597,494,319.21
  5. Step 5: Solve for x
    x = 38,597,494,319.21/308,144.70
  6. Step 6: Final answer
    x = 125,257.69

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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.