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Finding the Fourth Proportional to 378,510.06, 522,344.37 and 206,428.39

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Solution

The fourth proportional to 378,510.06, 522,344.37 and 206,428.39 is: 284,871.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,510.06 : 522,344.37 = 206,428.39 : x
  2. Step 2: Convert to fraction form
    378,510.06/522,344.37 = 206,428.39/x
  3. Step 3: Cross multiply
    378,510.06x = 522,344.37 × 206,428.39
  4. Step 4: Simplify right side
    378,510.06x = 107,826,707,324.66
  5. Step 5: Solve for x
    x = 107,826,707,324.66/378,510.06
  6. Step 6: Final answer
    x = 284,871.44

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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.