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Finding the Fourth Proportional to 707,942.48, 976,960.20 and 389,990.48

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Solution

The fourth proportional to 707,942.48, 976,960.20 and 389,990.48 is: 538,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,942.48 : 976,960.20 = 389,990.48 : x
  2. Step 2: Convert to fraction form
    707,942.48/976,960.20 = 389,990.48/x
  3. Step 3: Cross multiply
    707,942.48x = 976,960.20 × 389,990.48
  4. Step 4: Simplify right side
    707,942.48x = 381,005,177,338.90
  5. Step 5: Solve for x
    x = 381,005,177,338.90/707,942.48
  6. Step 6: Final answer
    x = 538,186.63

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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.