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Finding the Fourth Proportional to 354,964.80, 489,871.20 and 193,834.80

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Solution

The fourth proportional to 354,964.80, 489,871.20 and 193,834.80 is: 267,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,964.80 : 489,871.20 = 193,834.80 : x
  2. Step 2: Convert to fraction form
    354,964.80/489,871.20 = 193,834.80/x
  3. Step 3: Cross multiply
    354,964.80x = 489,871.20 × 193,834.80
  4. Step 4: Simplify right side
    354,964.80x = 94,954,086,077.76
  5. Step 5: Solve for x
    x = 94,954,086,077.76/354,964.80
  6. Step 6: Final answer
    x = 267,502.82

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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.