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Finding the Fourth Proportional to 349,640.70, 482,379.75 and 206,329.02

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Solution

The fourth proportional to 349,640.70, 482,379.75 and 206,329.02 is: 284,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640.70 : 482,379.75 = 206,329.02 : x
  2. Step 2: Convert to fraction form
    349,640.70/482,379.75 = 206,329.02/x
  3. Step 3: Cross multiply
    349,640.70x = 482,379.75 × 206,329.02
  4. Step 4: Simplify right side
    349,640.70x = 99,528,941,085.35
  5. Step 5: Solve for x
    x = 99,528,941,085.35/349,640.70
  6. Step 6: Final answer
    x = 284,660.63

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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.