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Finding the Fourth Proportional to 386,704.78, 533,656.24 and 216,942.56

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Solution

The fourth proportional to 386,704.78, 533,656.24 and 216,942.56 is: 299,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,704.78 : 533,656.24 = 216,942.56 : x
  2. Step 2: Convert to fraction form
    386,704.78/533,656.24 = 216,942.56/x
  3. Step 3: Cross multiply
    386,704.78x = 533,656.24 × 216,942.56
  4. Step 4: Simplify right side
    386,704.78x = 115,772,750,865.57
  5. Step 5: Solve for x
    x = 115,772,750,865.57/386,704.78
  6. Step 6: Final answer
    x = 299,382.78

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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.