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Finding the Fourth Proportional to 354,419.85, 489,090.51 and 193,278

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Solution

The fourth proportional to 354,419.85, 489,090.51 and 193,278 is: 266,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,419.85 : 489,090.51 = 193,278 : x
  2. Step 2: Convert to fraction form
    354,419.85/489,090.51 = 193,278/x
  3. Step 3: Cross multiply
    354,419.85x = 489,090.51 × 193,278
  4. Step 4: Simplify right side
    354,419.85x = 94,530,435,591.78
  5. Step 5: Solve for x
    x = 94,530,435,591.78/354,419.85
  6. Step 6: Final answer
    x = 266,718.80

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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.