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Finding the Fourth Proportional to 311,147.32, 466,717.92 and 142,619.80

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Solution

The fourth proportional to 311,147.32, 466,717.92 and 142,619.80 is: 213,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,147.32 : 466,717.92 = 142,619.80 : x
  2. Step 2: Convert to fraction form
    311,147.32/466,717.92 = 142,619.80/x
  3. Step 3: Cross multiply
    311,147.32x = 466,717.92 × 142,619.80
  4. Step 4: Simplify right side
    311,147.32x = 66,563,216,406.82
  5. Step 5: Solve for x
    x = 66,563,216,406.82/311,147.32
  6. Step 6: Final answer
    x = 213,928.30

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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.