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Finding the Fourth Proportional to 343,213.20, 514,965.60 and 165,628.80

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Solution

The fourth proportional to 343,213.20, 514,965.60 and 165,628.80 is: 248,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,213.20 : 514,965.60 = 165,628.80 : x
  2. Step 2: Convert to fraction form
    343,213.20/514,965.60 = 165,628.80/x
  3. Step 3: Cross multiply
    343,213.20x = 514,965.60 × 165,628.80
  4. Step 4: Simplify right side
    343,213.20x = 85,293,134,369.28
  5. Step 5: Solve for x
    x = 85,293,134,369.28/343,213.20
  6. Step 6: Final answer
    x = 248,513.56

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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.