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Finding the Fourth Proportional to 343,513.44, 515,021.05 and 230,914.38

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Solution

The fourth proportional to 343,513.44, 515,021.05 and 230,914.38 is: 346,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,513.44 : 515,021.05 = 230,914.38 : x
  2. Step 2: Convert to fraction form
    343,513.44/515,021.05 = 230,914.38/x
  3. Step 3: Cross multiply
    343,513.44x = 515,021.05 × 230,914.38
  4. Step 4: Simplify right side
    343,513.44x = 118,925,766,447.70
  5. Step 5: Solve for x
    x = 118,925,766,447.70/343,513.44
  6. Step 6: Final answer
    x = 346,204.11

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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.