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Finding the Fourth Proportional to 407,192.06, 610,788.09 and 126,709.31

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Solution

The fourth proportional to 407,192.06, 610,788.09 and 126,709.31 is: 190,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,192.06 : 610,788.09 = 126,709.31 : x
  2. Step 2: Convert to fraction form
    407,192.06/610,788.09 = 126,709.31/x
  3. Step 3: Cross multiply
    407,192.06x = 610,788.09 × 126,709.31
  4. Step 4: Simplify right side
    407,192.06x = 77,392,539,442.25
  5. Step 5: Solve for x
    x = 77,392,539,442.25/407,192.06
  6. Step 6: Final answer
    x = 190,063.97

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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.