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Finding the Fourth Proportional to 378,490.84, 521,774.82 and 297,778.60

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Solution

The fourth proportional to 378,490.84, 521,774.82 and 297,778.60 is: 410,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,490.84 : 521,774.82 = 297,778.60 : x
  2. Step 2: Convert to fraction form
    378,490.84/521,774.82 = 297,778.60/x
  3. Step 3: Cross multiply
    378,490.84x = 521,774.82 × 297,778.60
  4. Step 4: Simplify right side
    378,490.84x = 155,373,375,414.85
  5. Step 5: Solve for x
    x = 155,373,375,414.85/378,490.84
  6. Step 6: Final answer
    x = 410,507.62

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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.