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Finding the Fourth Proportional to 354,503.82, 489,221.88 and 193,364.65

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Solution

The fourth proportional to 354,503.82, 489,221.88 and 193,364.65 is: 266,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,503.82 : 489,221.88 = 193,364.65 : x
  2. Step 2: Convert to fraction form
    354,503.82/489,221.88 = 193,364.65/x
  3. Step 3: Cross multiply
    354,503.82x = 489,221.88 × 193,364.65
  4. Step 4: Simplify right side
    354,503.82x = 94,598,217,484.95
  5. Step 5: Solve for x
    x = 94,598,217,484.95/354,503.82
  6. Step 6: Final answer
    x = 266,846.82

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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.