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Finding the Fourth Proportional to 354,811.50, 489,659.85 and 203,918.22

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Solution

The fourth proportional to 354,811.50, 489,659.85 and 203,918.22 is: 281,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,811.50 : 489,659.85 = 203,918.22 : x
  2. Step 2: Convert to fraction form
    354,811.50/489,659.85 = 203,918.22/x
  3. Step 3: Cross multiply
    354,811.50x = 489,659.85 × 203,918.22
  4. Step 4: Simplify right side
    354,811.50x = 99,850,565,017.47
  5. Step 5: Solve for x
    x = 99,850,565,017.47/354,811.50
  6. Step 6: Final answer
    x = 281,418.63

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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.