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Finding the Fourth Proportional to 341,910.40, 512,960.40 and 142,324.80

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Solution

The fourth proportional to 341,910.40, 512,960.40 and 142,324.80 is: 213,526.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,910.40 : 512,960.40 = 142,324.80 : x
  2. Step 2: Convert to fraction form
    341,910.40/512,960.40 = 142,324.80/x
  3. Step 3: Cross multiply
    341,910.40x = 512,960.40 × 142,324.80
  4. Step 4: Simplify right side
    341,910.40x = 73,006,986,337.92
  5. Step 5: Solve for x
    x = 73,006,986,337.92/341,910.40
  6. Step 6: Final answer
    x = 213,526.66

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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.