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Finding the Fourth Proportional to 354,452.90, 489,125.48 and 201,469.82

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Solution

The fourth proportional to 354,452.90, 489,125.48 and 201,469.82 is: 278,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,452.90 : 489,125.48 = 201,469.82 : x
  2. Step 2: Convert to fraction form
    354,452.90/489,125.48 = 201,469.82/x
  3. Step 3: Cross multiply
    354,452.90x = 489,125.48 × 201,469.82
  4. Step 4: Simplify right side
    354,452.90x = 98,544,018,960.04
  5. Step 5: Solve for x
    x = 98,544,018,960.04/354,452.90
  6. Step 6: Final answer
    x = 278,017.25

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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.