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Finding the Fourth Proportional to 343,800.77, 515,806.73 and 164,115.49

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Solution

The fourth proportional to 343,800.77, 515,806.73 and 164,115.49 is: 246,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,800.77 : 515,806.73 = 164,115.49 : x
  2. Step 2: Convert to fraction form
    343,800.77/515,806.73 = 164,115.49/x
  3. Step 3: Cross multiply
    343,800.77x = 515,806.73 × 164,115.49
  4. Step 4: Simplify right side
    343,800.77x = 84,651,873,360.02
  5. Step 5: Solve for x
    x = 84,651,873,360.02/343,800.77
  6. Step 6: Final answer
    x = 246,223.63

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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.