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Finding the Fourth Proportional to 354,462.92, 489,074.73 and 201,489.11

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Solution

The fourth proportional to 354,462.92, 489,074.73 and 201,489.11 is: 278,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,462.92 : 489,074.73 = 201,489.11 : x
  2. Step 2: Convert to fraction form
    354,462.92/489,074.73 = 201,489.11/x
  3. Step 3: Cross multiply
    354,462.92x = 489,074.73 × 201,489.11
  4. Step 4: Simplify right side
    354,462.92x = 98,543,229,625.82
  5. Step 5: Solve for x
    x = 98,543,229,625.82/354,462.92
  6. Step 6: Final answer
    x = 278,007.16

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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.