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Finding the Fourth Proportional to 259,338.66, 389,049.48 and 109,580.40

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Solution

The fourth proportional to 259,338.66, 389,049.48 and 109,580.40 is: 164,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,338.66 : 389,049.48 = 109,580.40 : x
  2. Step 2: Convert to fraction form
    259,338.66/389,049.48 = 109,580.40/x
  3. Step 3: Cross multiply
    259,338.66x = 389,049.48 × 109,580.40
  4. Step 4: Simplify right side
    259,338.66x = 42,632,197,638.19
  5. Step 5: Solve for x
    x = 42,632,197,638.19/259,338.66
  6. Step 6: Final answer
    x = 164,388.13

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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.