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Finding the Fourth Proportional to 311,205.60, 466,743.60 and 133,718.40

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Solution

The fourth proportional to 311,205.60, 466,743.60 and 133,718.40 is: 200,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,205.60 : 466,743.60 = 133,718.40 : x
  2. Step 2: Convert to fraction form
    311,205.60/466,743.60 = 133,718.40/x
  3. Step 3: Cross multiply
    311,205.60x = 466,743.60 × 133,718.40
  4. Step 4: Simplify right side
    311,205.60x = 62,412,207,402.24
  5. Step 5: Solve for x
    x = 62,412,207,402.24/311,205.60
  6. Step 6: Final answer
    x = 200,549.76

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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.