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Finding the Fourth Proportional to 354,894.02, 489,796.71 and 201,969.40

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Solution

The fourth proportional to 354,894.02, 489,796.71 and 201,969.40 is: 278,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,894.02 : 489,796.71 = 201,969.40 : x
  2. Step 2: Convert to fraction form
    354,894.02/489,796.71 = 201,969.40/x
  3. Step 3: Cross multiply
    354,894.02x = 489,796.71 × 201,969.40
  4. Step 4: Simplify right side
    354,894.02x = 98,923,947,640.67
  5. Step 5: Solve for x
    x = 98,923,947,640.67/354,894.02
  6. Step 6: Final answer
    x = 278,742.22

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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.