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Finding the Fourth Proportional to 217,368, 300,469.92 and 181,347.84

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Solution

The fourth proportional to 217,368, 300,469.92 and 181,347.84 is: 250,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,368 : 300,469.92 = 181,347.84 : x
  2. Step 2: Convert to fraction form
    217,368/300,469.92 = 181,347.84/x
  3. Step 3: Cross multiply
    217,368x = 300,469.92 × 181,347.84
  4. Step 4: Simplify right side
    217,368x = 54,489,570,976.97
  5. Step 5: Solve for x
    x = 54,489,570,976.97/217,368
  6. Step 6: Final answer
    x = 250,678.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.