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Finding the Fourth Proportional to 354,793.32, 489,610.78 and 201,827.92

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Solution

The fourth proportional to 354,793.32, 489,610.78 and 201,827.92 is: 278,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,793.32 : 489,610.78 = 201,827.92 : x
  2. Step 2: Convert to fraction form
    354,793.32/489,610.78 = 201,827.92/x
  3. Step 3: Cross multiply
    354,793.32x = 489,610.78 × 201,827.92
  4. Step 4: Simplify right side
    354,793.32x = 98,817,125,336.98
  5. Step 5: Solve for x
    x = 98,817,125,336.98/354,793.32
  6. Step 6: Final answer
    x = 278,520.25

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1.5x scale

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.