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Finding the Fourth Proportional to 378,636.50, 522,528.20 and 206,557.26

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Solution

The fourth proportional to 378,636.50, 522,528.20 and 206,557.26 is: 285,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,636.50 : 522,528.20 = 206,557.26 : x
  2. Step 2: Convert to fraction form
    378,636.50/522,528.20 = 206,557.26/x
  3. Step 3: Cross multiply
    378,636.50x = 522,528.20 × 206,557.26
  4. Step 4: Simplify right side
    378,636.50x = 107,931,993,264.73
  5. Step 5: Solve for x
    x = 107,931,993,264.73/378,636.50
  6. Step 6: Final answer
    x = 285,054.38

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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.