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Finding the Fourth Proportional to 343,800.21, 515,805.89 and 164,114.93

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Solution

The fourth proportional to 343,800.21, 515,805.89 and 164,114.93 is: 246,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,800.21 : 515,805.89 = 164,114.93 : x
  2. Step 2: Convert to fraction form
    343,800.21/515,805.89 = 164,114.93/x
  3. Step 3: Cross multiply
    343,800.21x = 515,805.89 × 164,114.93
  4. Step 4: Simplify right side
    343,800.21x = 84,651,444,131.33
  5. Step 5: Solve for x
    x = 84,651,444,131.33/343,800.21
  6. Step 6: Final answer
    x = 246,222.78

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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.