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Finding the Fourth Proportional to 286,035.69, 394,685.42 and 171,287.46

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Solution

The fourth proportional to 286,035.69, 394,685.42 and 171,287.46 is: 236,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,035.69 : 394,685.42 = 171,287.46 : x
  2. Step 2: Convert to fraction form
    286,035.69/394,685.42 = 171,287.46/x
  3. Step 3: Cross multiply
    286,035.69x = 394,685.42 × 171,287.46
  4. Step 4: Simplify right side
    286,035.69x = 67,604,662,234.40
  5. Step 5: Solve for x
    x = 67,604,662,234.40/286,035.69
  6. Step 6: Final answer
    x = 236,350.44

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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.