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Finding the Fourth Proportional to 378,581.91, 522,444.68 and 206,503.58

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Solution

The fourth proportional to 378,581.91, 522,444.68 and 206,503.58 is: 284,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,581.91 : 522,444.68 = 206,503.58 : x
  2. Step 2: Convert to fraction form
    378,581.91/522,444.68 = 206,503.58/x
  3. Step 3: Cross multiply
    378,581.91x = 522,444.68 × 206,503.58
  4. Step 4: Simplify right side
    378,581.91x = 107,886,696,771.95
  5. Step 5: Solve for x
    x = 107,886,696,771.95/378,581.91
  6. Step 6: Final answer
    x = 284,975.84

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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.