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Finding the Fourth Proportional to 200,347.48, 300,530.94 and 165,223

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Solution

The fourth proportional to 200,347.48, 300,530.94 and 165,223 is: 247,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,347.48 : 300,530.94 = 165,223 : x
  2. Step 2: Convert to fraction form
    200,347.48/300,530.94 = 165,223/x
  3. Step 3: Cross multiply
    200,347.48x = 300,530.94 × 165,223
  4. Step 4: Simplify right side
    200,347.48x = 49,654,623,499.62
  5. Step 5: Solve for x
    x = 49,654,623,499.62/200,347.48
  6. Step 6: Final answer
    x = 247,842.52

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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.