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Finding the Fourth Proportional to 354,606.98, 489,346.37 and 201,661.78

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Solution

The fourth proportional to 354,606.98, 489,346.37 and 201,661.78 is: 278,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,606.98 : 489,346.37 = 201,661.78 : x
  2. Step 2: Convert to fraction form
    354,606.98/489,346.37 = 201,661.78/x
  3. Step 3: Cross multiply
    354,606.98x = 489,346.37 × 201,661.78
  4. Step 4: Simplify right side
    354,606.98x = 98,682,460,010.74
  5. Step 5: Solve for x
    x = 98,682,460,010.74/354,606.98
  6. Step 6: Final answer
    x = 278,286.85

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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.