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Finding the Fourth Proportional to 343,893.18, 515,942.28 and 164,113.58

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Solution

The fourth proportional to 343,893.18, 515,942.28 and 164,113.58 is: 246,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,893.18 : 515,942.28 = 164,113.58 : x
  2. Step 2: Convert to fraction form
    343,893.18/515,942.28 = 164,113.58/x
  3. Step 3: Cross multiply
    343,893.18x = 515,942.28 × 164,113.58
  4. Step 4: Simplify right side
    343,893.18x = 84,673,132,064.45
  5. Step 5: Solve for x
    x = 84,673,132,064.45/343,893.18
  6. Step 6: Final answer
    x = 246,219.28

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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.