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Finding the Fourth Proportional to 619,294.87, 854,634.09 and 343,658.38

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Solution

The fourth proportional to 619,294.87, 854,634.09 and 343,658.38 is: 474,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,294.87 : 854,634.09 = 343,658.38 : x
  2. Step 2: Convert to fraction form
    619,294.87/854,634.09 = 343,658.38/x
  3. Step 3: Cross multiply
    619,294.87x = 854,634.09 × 343,658.38
  4. Step 4: Simplify right side
    619,294.87x = 293,702,164,725.59
  5. Step 5: Solve for x
    x = 293,702,164,725.59/619,294.87
  6. Step 6: Final answer
    x = 474,252.54

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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.