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Finding the Fourth Proportional to 354,469.59, 489,165.89 and 193,323.87

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Solution

The fourth proportional to 354,469.59, 489,165.89 and 193,323.87 is: 266,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,469.59 : 489,165.89 = 193,323.87 : x
  2. Step 2: Convert to fraction form
    354,469.59/489,165.89 = 193,323.87/x
  3. Step 3: Cross multiply
    354,469.59x = 489,165.89 × 193,323.87
  4. Step 4: Simplify right side
    354,469.59x = 94,567,441,960.17
  5. Step 5: Solve for x
    x = 94,567,441,960.17/354,469.59
  6. Step 6: Final answer
    x = 266,785.77

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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.