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Finding the Fourth Proportional to 387,721.92, 535,104.45 and 217,956.18

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Solution

The fourth proportional to 387,721.92, 535,104.45 and 217,956.18 is: 300,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,721.92 : 535,104.45 = 217,956.18 : x
  2. Step 2: Convert to fraction form
    387,721.92/535,104.45 = 217,956.18/x
  3. Step 3: Cross multiply
    387,721.92x = 535,104.45 × 217,956.18
  4. Step 4: Simplify right side
    387,721.92x = 116,629,321,823.00
  5. Step 5: Solve for x
    x = 116,629,321,823.00/387,721.92
  6. Step 6: Final answer
    x = 300,806.62

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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.