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Finding the Fourth Proportional to 371,196, 512,383.32 and 220,293

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Solution

The fourth proportional to 371,196, 512,383.32 and 220,293 is: 304,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,196 : 512,383.32 = 220,293 : x
  2. Step 2: Convert to fraction form
    371,196/512,383.32 = 220,293/x
  3. Step 3: Cross multiply
    371,196x = 512,383.32 × 220,293
  4. Step 4: Simplify right side
    371,196x = 112,874,458,712.76
  5. Step 5: Solve for x
    x = 112,874,458,712.76/371,196
  6. Step 6: Final answer
    x = 304,083.18

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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.