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Finding the Fourth Proportional to 341,732.88, 512,640.36 and 142,188.30

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Solution

The fourth proportional to 341,732.88, 512,640.36 and 142,188.30 is: 213,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,732.88 : 512,640.36 = 142,188.30 : x
  2. Step 2: Convert to fraction form
    341,732.88/512,640.36 = 142,188.30/x
  3. Step 3: Cross multiply
    341,732.88x = 512,640.36 × 142,188.30
  4. Step 4: Simplify right side
    341,732.88x = 72,891,461,299.79
  5. Step 5: Solve for x
    x = 72,891,461,299.79/341,732.88
  6. Step 6: Final answer
    x = 213,299.53

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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.