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Finding the Fourth Proportional to 378,600.54, 522,478.60 and 206,521.40

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Solution

The fourth proportional to 378,600.54, 522,478.60 and 206,521.40 is: 285,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,600.54 : 522,478.60 = 206,521.40 : x
  2. Step 2: Convert to fraction form
    378,600.54/522,478.60 = 206,521.40/x
  3. Step 3: Cross multiply
    378,600.54x = 522,478.60 × 206,521.40
  4. Step 4: Simplify right side
    378,600.54x = 107,903,012,731.93
  5. Step 5: Solve for x
    x = 107,903,012,731.93/378,600.54
  6. Step 6: Final answer
    x = 285,004.91

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1.5x scale

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.