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Finding the Fourth Proportional to 411,414.60, 568,294.20 and 315,756.84

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Solution

The fourth proportional to 411,414.60, 568,294.20 and 315,756.84 is: 436,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,414.60 : 568,294.20 = 315,756.84 : x
  2. Step 2: Convert to fraction form
    411,414.60/568,294.20 = 315,756.84/x
  3. Step 3: Cross multiply
    411,414.60x = 568,294.20 × 315,756.84
  4. Step 4: Simplify right side
    411,414.60x = 179,442,780,782.33
  5. Step 5: Solve for x
    x = 179,442,780,782.33/411,414.60
  6. Step 6: Final answer
    x = 436,160.46

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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.