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Finding the Fourth Proportional to 354,385.40, 489,033.87 and 193,239.14

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Solution

The fourth proportional to 354,385.40, 489,033.87 and 193,239.14 is: 266,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,385.40 : 489,033.87 = 193,239.14 : x
  2. Step 2: Convert to fraction form
    354,385.40/489,033.87 = 193,239.14/x
  3. Step 3: Cross multiply
    354,385.40x = 489,033.87 × 193,239.14
  4. Step 4: Simplify right side
    354,385.40x = 94,500,484,469.67
  5. Step 5: Solve for x
    x = 94,500,484,469.67/354,385.40
  6. Step 6: Final answer
    x = 266,660.21

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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.