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Finding the Fourth Proportional to 311,020.40, 466,530.60 and 133,497.20

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Solution

The fourth proportional to 311,020.40, 466,530.60 and 133,497.20 is: 200,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020.40 : 466,530.60 = 133,497.20 : x
  2. Step 2: Convert to fraction form
    311,020.40/466,530.60 = 133,497.20/x
  3. Step 3: Cross multiply
    311,020.40x = 466,530.60 × 133,497.20
  4. Step 4: Simplify right side
    311,020.40x = 62,280,528,814.32
  5. Step 5: Solve for x
    x = 62,280,528,814.32/311,020.40
  6. Step 6: Final answer
    x = 200,245.80

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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.