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Finding the Fourth Proportional to 567,286.68, 782,845.57 and 309,166

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Solution

The fourth proportional to 567,286.68, 782,845.57 and 309,166 is: 426,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,286.68 : 782,845.57 = 309,166 : x
  2. Step 2: Convert to fraction form
    567,286.68/782,845.57 = 309,166/x
  3. Step 3: Cross multiply
    567,286.68x = 782,845.57 × 309,166
  4. Step 4: Simplify right side
    567,286.68x = 242,029,233,494.62
  5. Step 5: Solve for x
    x = 242,029,233,494.62/567,286.68
  6. Step 6: Final answer
    x = 426,643.60

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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.