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Finding the Fourth Proportional to 354,908.09, 489,780.59 and 193,769.93

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Solution

The fourth proportional to 354,908.09, 489,780.59 and 193,769.93 is: 267,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,908.09 : 489,780.59 = 193,769.93 : x
  2. Step 2: Convert to fraction form
    354,908.09/489,780.59 = 193,769.93/x
  3. Step 3: Cross multiply
    354,908.09x = 489,780.59 × 193,769.93
  4. Step 4: Simplify right side
    354,908.09x = 94,904,747,221.91
  5. Step 5: Solve for x
    x = 94,904,747,221.91/354,908.09
  6. Step 6: Final answer
    x = 267,406.55

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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.