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Finding the Fourth Proportional to 354,423.42, 489,197.34 and 201,550.95

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Solution

The fourth proportional to 354,423.42, 489,197.34 and 201,550.95 is: 278,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,423.42 : 489,197.34 = 201,550.95 : x
  2. Step 2: Convert to fraction form
    354,423.42/489,197.34 = 201,550.95/x
  3. Step 3: Cross multiply
    354,423.42x = 489,197.34 × 201,550.95
  4. Step 4: Simplify right side
    354,423.42x = 98,598,188,614.47
  5. Step 5: Solve for x
    x = 98,598,188,614.47/354,423.42
  6. Step 6: Final answer
    x = 278,193.21

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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.