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Finding the Fourth Proportional to 354,409.79, 489,097.77 and 201,454.40

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Solution

The fourth proportional to 354,409.79, 489,097.77 and 201,454.40 is: 278,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,409.79 : 489,097.77 = 201,454.40 : x
  2. Step 2: Convert to fraction form
    354,409.79/489,097.77 = 201,454.40/x
  3. Step 3: Cross multiply
    354,409.79x = 489,097.77 × 201,454.40
  4. Step 4: Simplify right side
    354,409.79x = 98,530,897,796.69
  5. Step 5: Solve for x
    x = 98,530,897,796.69/354,409.79
  6. Step 6: Final answer
    x = 278,014.04

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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.