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Finding the Fourth Proportional to 399,205, 598,906.14 and 118,721.08

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Solution

The fourth proportional to 399,205, 598,906.14 and 118,721.08 is: 178,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,205 : 598,906.14 = 118,721.08 : x
  2. Step 2: Convert to fraction form
    399,205/598,906.14 = 118,721.08/x
  3. Step 3: Cross multiply
    399,205x = 598,906.14 × 118,721.08
  4. Step 4: Simplify right side
    399,205x = 71,102,783,759.43
  5. Step 5: Solve for x
    x = 71,102,783,759.43/399,205
  6. Step 6: Final answer
    x = 178,110.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.