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Finding the Fourth Proportional to 565,086.38, 779,819.50 and 310,453.97

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Solution

The fourth proportional to 565,086.38, 779,819.50 and 310,453.97 is: 428,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,086.38 : 779,819.50 = 310,453.97 : x
  2. Step 2: Convert to fraction form
    565,086.38/779,819.50 = 310,453.97/x
  3. Step 3: Cross multiply
    565,086.38x = 779,819.50 × 310,453.97
  4. Step 4: Simplify right side
    565,086.38x = 242,098,056,147.39
  5. Step 5: Solve for x
    x = 242,098,056,147.39/565,086.38
  6. Step 6: Final answer
    x = 428,426.64

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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.