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Finding the Fourth Proportional to 567,286.56, 782,844.86 and 309,165.62

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Solution

The fourth proportional to 567,286.56, 782,844.86 and 309,165.62 is: 426,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,286.56 : 782,844.86 = 309,165.62 : x
  2. Step 2: Convert to fraction form
    567,286.56/782,844.86 = 309,165.62/x
  3. Step 3: Cross multiply
    567,286.56x = 782,844.86 × 309,165.62
  4. Step 4: Simplify right side
    567,286.56x = 242,028,716,505.71
  5. Step 5: Solve for x
    x = 242,028,716,505.71/567,286.56
  6. Step 6: Final answer
    x = 426,642.78

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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.