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Finding the Fourth Proportional to 343,942.56, 515,606.04 and 133,530.48

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Solution

The fourth proportional to 343,942.56, 515,606.04 and 133,530.48 is: 200,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,942.56 : 515,606.04 = 133,530.48 : x
  2. Step 2: Convert to fraction form
    343,942.56/515,606.04 = 133,530.48/x
  3. Step 3: Cross multiply
    343,942.56x = 515,606.04 × 133,530.48
  4. Step 4: Simplify right side
    343,942.56x = 68,849,122,012.10
  5. Step 5: Solve for x
    x = 68,849,122,012.10/343,942.56
  6. Step 6: Final answer
    x = 200,176.22

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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.