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Finding the Fourth Proportional to 354,429.90, 489,114.08 and 201,469.10

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Solution

The fourth proportional to 354,429.90, 489,114.08 and 201,469.10 is: 278,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,429.90 : 489,114.08 = 201,469.10 : x
  2. Step 2: Convert to fraction form
    354,429.90/489,114.08 = 201,469.10/x
  3. Step 3: Cross multiply
    354,429.90x = 489,114.08 × 201,469.10
  4. Step 4: Simplify right side
    354,429.90x = 98,541,370,042.01
  5. Step 5: Solve for x
    x = 98,541,370,042.01/354,429.90
  6. Step 6: Final answer
    x = 278,027.81

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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.