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Finding the Fourth Proportional to 378,416.95, 522,208.69 and 206,336.25

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Solution

The fourth proportional to 378,416.95, 522,208.69 and 206,336.25 is: 284,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,416.95 : 522,208.69 = 206,336.25 : x
  2. Step 2: Convert to fraction form
    378,416.95/522,208.69 = 206,336.25/x
  3. Step 3: Cross multiply
    378,416.95x = 522,208.69 × 206,336.25
  4. Step 4: Simplify right side
    378,416.95x = 107,750,582,296.17
  5. Step 5: Solve for x
    x = 107,750,582,296.17/378,416.95
  6. Step 6: Final answer
    x = 284,740.37

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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.