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Finding the Fourth Proportional to 311,367.94, 466,689 and 142,906.08

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Solution

The fourth proportional to 311,367.94, 466,689 and 142,906.08 is: 214,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,367.94 : 466,689 = 142,906.08 : x
  2. Step 2: Convert to fraction form
    311,367.94/466,689 = 142,906.08/x
  3. Step 3: Cross multiply
    311,367.94x = 466,689 × 142,906.08
  4. Step 4: Simplify right side
    311,367.94x = 66,692,695,569.12
  5. Step 5: Solve for x
    x = 66,692,695,569.12/311,367.94
  6. Step 6: Final answer
    x = 214,192.56

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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.