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Finding the Fourth Proportional to 259,468.44, 389,219.06 and 109,689.01

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Solution

The fourth proportional to 259,468.44, 389,219.06 and 109,689.01 is: 164,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,468.44 : 389,219.06 = 109,689.01 : x
  2. Step 2: Convert to fraction form
    259,468.44/389,219.06 = 109,689.01/x
  3. Step 3: Cross multiply
    259,468.44x = 389,219.06 × 109,689.01
  4. Step 4: Simplify right side
    259,468.44x = 42,693,053,364.53
  5. Step 5: Solve for x
    x = 42,693,053,364.53/259,468.44
  6. Step 6: Final answer
    x = 164,540.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.