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Finding the Fourth Proportional to 259,076.78, 388,448.26 and 109,277.00

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Solution

The fourth proportional to 259,076.78, 388,448.26 and 109,277.00 is: 163,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,076.78 : 388,448.26 = 109,277.00 : x
  2. Step 2: Convert to fraction form
    259,076.78/388,448.26 = 109,277.00/x
  3. Step 3: Cross multiply
    259,076.78x = 388,448.26 × 109,277.00
  4. Step 4: Simplify right side
    259,076.78x = 42,448,459,749.27
  5. Step 5: Solve for x
    x = 42,448,459,749.27/259,076.78
  6. Step 6: Final answer
    x = 163,845.10

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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.