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Finding the Fourth Proportional to 311,409.20, 466,336.20 and 205,655.60

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Solution

The fourth proportional to 311,409.20, 466,336.20 and 205,655.60 is: 307,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,409.20 : 466,336.20 = 205,655.60 : x
  2. Step 2: Convert to fraction form
    311,409.20/466,336.20 = 205,655.60/x
  3. Step 3: Cross multiply
    311,409.20x = 466,336.20 × 205,655.60
  4. Step 4: Simplify right side
    311,409.20x = 95,904,651,012.72
  5. Step 5: Solve for x
    x = 95,904,651,012.72/311,409.20
  6. Step 6: Final answer
    x = 307,969.87

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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.