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Finding the Fourth Proportional to 384,712.75, 531,051.69 and 344,355.31

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Solution

The fourth proportional to 384,712.75, 531,051.69 and 344,355.31 is: 475,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,712.75 : 531,051.69 = 344,355.31 : x
  2. Step 2: Convert to fraction form
    384,712.75/531,051.69 = 344,355.31/x
  3. Step 3: Cross multiply
    384,712.75x = 531,051.69 × 344,355.31
  4. Step 4: Simplify right side
    384,712.75x = 182,870,469,335.97
  5. Step 5: Solve for x
    x = 182,870,469,335.97/384,712.75
  6. Step 6: Final answer
    x = 475,342.89

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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.