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Finding the Fourth Proportional to 378,509.06, 522,342.99 and 206,427.39

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Solution

The fourth proportional to 378,509.06, 522,342.99 and 206,427.39 is: 284,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,509.06 : 522,342.99 = 206,427.39 : x
  2. Step 2: Convert to fraction form
    378,509.06/522,342.99 = 206,427.39/x
  3. Step 3: Cross multiply
    378,509.06x = 522,342.99 × 206,427.39
  4. Step 4: Simplify right side
    378,509.06x = 107,825,900,110.50
  5. Step 5: Solve for x
    x = 107,825,900,110.50/378,509.06
  6. Step 6: Final answer
    x = 284,870.07

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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.