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Finding the Fourth Proportional to 354,537.27, 489,249.32 and 211,294.71

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Solution

The fourth proportional to 354,537.27, 489,249.32 and 211,294.71 is: 291,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,537.27 : 489,249.32 = 211,294.71 : x
  2. Step 2: Convert to fraction form
    354,537.27/489,249.32 = 211,294.71/x
  3. Step 3: Cross multiply
    354,537.27x = 489,249.32 × 211,294.71
  4. Step 4: Simplify right side
    354,537.27x = 103,375,792,130.62
  5. Step 5: Solve for x
    x = 103,375,792,130.62/354,537.27
  6. Step 6: Final answer
    x = 291,579.48

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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.