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Finding the Fourth Proportional to 494,325, 741,487.02 and 427,566.66

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Solution

The fourth proportional to 494,325, 741,487.02 and 427,566.66 is: 641,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,325 : 741,487.02 = 427,566.66 : x
  2. Step 2: Convert to fraction form
    494,325/741,487.02 = 427,566.66/x
  3. Step 3: Cross multiply
    494,325x = 741,487.02 × 427,566.66
  4. Step 4: Simplify right side
    494,325x = 317,035,128,574.75
  5. Step 5: Solve for x
    x = 317,035,128,574.75/494,325
  6. Step 6: Final answer
    x = 641,349.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.