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Finding the Fourth Proportional to 384,696.33, 531,029.09 and 344,338.89

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Solution

The fourth proportional to 384,696.33, 531,029.09 and 344,338.89 is: 475,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,696.33 : 531,029.09 = 344,338.89 : x
  2. Step 2: Convert to fraction form
    384,696.33/531,029.09 = 344,338.89/x
  3. Step 3: Cross multiply
    384,696.33x = 531,029.09 × 344,338.89
  4. Step 4: Simplify right side
    384,696.33x = 182,853,968,269.16
  5. Step 5: Solve for x
    x = 182,853,968,269.16/384,696.33
  6. Step 6: Final answer
    x = 475,320.28

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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.