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Finding the Fourth Proportional to 354,470.50, 489,211.33 and 201,531.77

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Solution

The fourth proportional to 354,470.50, 489,211.33 and 201,531.77 is: 278,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,470.50 : 489,211.33 = 201,531.77 : x
  2. Step 2: Convert to fraction form
    354,470.50/489,211.33 = 201,531.77/x
  3. Step 3: Cross multiply
    354,470.50x = 489,211.33 × 201,531.77
  4. Step 4: Simplify right side
    354,470.50x = 98,591,622,792.90
  5. Step 5: Solve for x
    x = 98,591,622,792.90/354,470.50
  6. Step 6: Final answer
    x = 278,137.74

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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.