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Finding the Fourth Proportional to 371,920.80, 513,382.32 and 221,016

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Solution

The fourth proportional to 371,920.80, 513,382.32 and 221,016 is: 305,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,920.80 : 513,382.32 = 221,016 : x
  2. Step 2: Convert to fraction form
    371,920.80/513,382.32 = 221,016/x
  3. Step 3: Cross multiply
    371,920.80x = 513,382.32 × 221,016
  4. Step 4: Simplify right side
    371,920.80x = 113,465,706,837.12
  5. Step 5: Solve for x
    x = 113,465,706,837.12/371,920.80
  6. Step 6: Final answer
    x = 305,080.29

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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.