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Finding the Fourth Proportional to 494,564.80, 739,878.90 and 428,736.10

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Solution

The fourth proportional to 494,564.80, 739,878.90 and 428,736.10 is: 641,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,564.80 : 739,878.90 = 428,736.10 : x
  2. Step 2: Convert to fraction form
    494,564.80/739,878.90 = 428,736.10/x
  3. Step 3: Cross multiply
    494,564.80x = 739,878.90 × 428,736.10
  4. Step 4: Simplify right side
    494,564.80x = 317,212,794,058.29
  5. Step 5: Solve for x
    x = 317,212,794,058.29/494,564.80
  6. Step 6: Final answer
    x = 641,397.84

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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.