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Finding the Fourth Proportional to 221,301.30, 304,657.56 and 211,133.46

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Solution

The fourth proportional to 221,301.30, 304,657.56 and 211,133.46 is: 290,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,301.30 : 304,657.56 = 211,133.46 : x
  2. Step 2: Convert to fraction form
    221,301.30/304,657.56 = 211,133.46/x
  3. Step 3: Cross multiply
    221,301.30x = 304,657.56 × 211,133.46
  4. Step 4: Simplify right side
    221,301.30x = 64,323,404,757.96
  5. Step 5: Solve for x
    x = 64,323,404,757.96/221,301.30
  6. Step 6: Final answer
    x = 290,659.86

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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.