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Finding the Fourth Proportional to 208,004.78, 311,394.81 and 128,864.54

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Solution

The fourth proportional to 208,004.78, 311,394.81 and 128,864.54 is: 192,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,004.78 : 311,394.81 = 128,864.54 : x
  2. Step 2: Convert to fraction form
    208,004.78/311,394.81 = 128,864.54/x
  3. Step 3: Cross multiply
    208,004.78x = 311,394.81 × 128,864.54
  4. Step 4: Simplify right side
    208,004.78x = 40,127,748,949.04
  5. Step 5: Solve for x
    x = 40,127,748,949.04/208,004.78
  6. Step 6: Final answer
    x = 192,917.44

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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.