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Finding the Fourth Proportional to 387,757.08, 535,099.52 and 217,991.16

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Solution

The fourth proportional to 387,757.08, 535,099.52 and 217,991.16 is: 300,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,757.08 : 535,099.52 = 217,991.16 : x
  2. Step 2: Convert to fraction form
    387,757.08/535,099.52 = 217,991.16/x
  3. Step 3: Cross multiply
    387,757.08x = 535,099.52 × 217,991.16
  4. Step 4: Simplify right side
    387,757.08x = 116,646,965,080.24
  5. Step 5: Solve for x
    x = 116,646,965,080.24/387,757.08
  6. Step 6: Final answer
    x = 300,824.85

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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.