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Finding the Fourth Proportional to 221,013, 304,998.48 and 120,411

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Solution

The fourth proportional to 221,013, 304,998.48 and 120,411 is: 166,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,013 : 304,998.48 = 120,411 : x
  2. Step 2: Convert to fraction form
    221,013/304,998.48 = 120,411/x
  3. Step 3: Cross multiply
    221,013x = 304,998.48 × 120,411
  4. Step 4: Simplify right side
    221,013x = 36,725,171,975.28
  5. Step 5: Solve for x
    x = 36,725,171,975.28/221,013
  6. Step 6: Final answer
    x = 166,167.47

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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.