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Finding the Fourth Proportional to 343,288.40, 514,625.40 and 132,856.40

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Solution

The fourth proportional to 343,288.40, 514,625.40 and 132,856.40 is: 199,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,288.40 : 514,625.40 = 132,856.40 : x
  2. Step 2: Convert to fraction form
    343,288.40/514,625.40 = 132,856.40/x
  3. Step 3: Cross multiply
    343,288.40x = 514,625.40 × 132,856.40
  4. Step 4: Simplify right side
    343,288.40x = 68,371,277,992.56
  5. Step 5: Solve for x
    x = 68,371,277,992.56/343,288.40
  6. Step 6: Final answer
    x = 199,165.71

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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.