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Finding the Fourth Proportional to 354,429.12, 489,113.01 and 201,468.33

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Solution

The fourth proportional to 354,429.12, 489,113.01 and 201,468.33 is: 278,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,429.12 : 489,113.01 = 201,468.33 : x
  2. Step 2: Convert to fraction form
    354,429.12/489,113.01 = 201,468.33/x
  3. Step 3: Cross multiply
    354,429.12x = 489,113.01 × 201,468.33
  4. Step 4: Simplify right side
    354,429.12x = 98,540,781,305.97
  5. Step 5: Solve for x
    x = 98,540,781,305.97/354,429.12
  6. Step 6: Final answer
    x = 278,026.76

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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.