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Finding the Fourth Proportional to 220,714, 304,564.26 and 123,895.69

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Solution

The fourth proportional to 220,714, 304,564.26 and 123,895.69 is: 170,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,714 : 304,564.26 = 123,895.69 : x
  2. Step 2: Convert to fraction form
    220,714/304,564.26 = 123,895.69/x
  3. Step 3: Cross multiply
    220,714x = 304,564.26 × 123,895.69
  4. Step 4: Simplify right side
    220,714x = 37,734,199,142.04
  5. Step 5: Solve for x
    x = 37,734,199,142.04/220,714
  6. Step 6: Final answer
    x = 170,964.23

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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.