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Finding the Fourth Proportional to 378,639, 522,531.63 and 206,559.77

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Solution

The fourth proportional to 378,639, 522,531.63 and 206,559.77 is: 285,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,639 : 522,531.63 = 206,559.77 : x
  2. Step 2: Convert to fraction form
    378,639/522,531.63 = 206,559.77/x
  3. Step 3: Cross multiply
    378,639x = 522,531.63 × 206,559.77
  4. Step 4: Simplify right side
    378,639x = 107,934,010,697.87
  5. Step 5: Solve for x
    x = 107,934,010,697.87/378,639
  6. Step 6: Final answer
    x = 285,057.83

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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.