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Finding the Fourth Proportional to 378,861.56, 522,827.88 and 209,094.47

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Solution

The fourth proportional to 378,861.56, 522,827.88 and 209,094.47 is: 288,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,861.56 : 522,827.88 = 209,094.47 : x
  2. Step 2: Convert to fraction form
    378,861.56/522,827.88 = 209,094.47/x
  3. Step 3: Cross multiply
    378,861.56x = 522,827.88 × 209,094.47
  4. Step 4: Simplify right side
    378,861.56x = 109,320,418,469.82
  5. Step 5: Solve for x
    x = 109,320,418,469.82/378,861.56
  6. Step 6: Final answer
    x = 288,549.78

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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.