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Finding the Fourth Proportional to 349,771.70, 482,670.69 and 206,578.10

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Solution

The fourth proportional to 349,771.70, 482,670.69 and 206,578.10 is: 285,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,771.70 : 482,670.69 = 206,578.10 : x
  2. Step 2: Convert to fraction form
    349,771.70/482,670.69 = 206,578.10/x
  3. Step 3: Cross multiply
    349,771.70x = 482,670.69 × 206,578.10
  4. Step 4: Simplify right side
    349,771.70x = 99,709,194,065.89
  5. Step 5: Solve for x
    x = 99,709,194,065.89/349,771.70
  6. Step 6: Final answer
    x = 285,069.36

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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.