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Finding the Fourth Proportional to 259,394.56, 388,998.10 and 109,646.44

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Solution

The fourth proportional to 259,394.56, 388,998.10 and 109,646.44 is: 164,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,394.56 : 388,998.10 = 109,646.44 : x
  2. Step 2: Convert to fraction form
    259,394.56/388,998.10 = 109,646.44/x
  3. Step 3: Cross multiply
    259,394.56x = 388,998.10 × 109,646.44
  4. Step 4: Simplify right side
    259,394.56x = 42,652,256,831.76
  5. Step 5: Solve for x
    x = 42,652,256,831.76/259,394.56
  6. Step 6: Final answer
    x = 164,430.04

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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.