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Finding the Fourth Proportional to 371,996.75, 513,359.82 and 206,428.11

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Solution

The fourth proportional to 371,996.75, 513,359.82 and 206,428.11 is: 284,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,996.75 : 513,359.82 = 206,428.11 : x
  2. Step 2: Convert to fraction form
    371,996.75/513,359.82 = 206,428.11/x
  3. Step 3: Cross multiply
    371,996.75x = 513,359.82 × 206,428.11
  4. Step 4: Simplify right side
    371,996.75x = 105,971,897,774.51
  5. Step 5: Solve for x
    x = 105,971,897,774.51/371,996.75
  6. Step 6: Final answer
    x = 284,873.18

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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.