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Finding the Fourth Proportional to 200,325.78, 276,462.90 and 115,448.31

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Solution

The fourth proportional to 200,325.78, 276,462.90 and 115,448.31 is: 159,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,325.78 : 276,462.90 = 115,448.31 : x
  2. Step 2: Convert to fraction form
    200,325.78/276,462.90 = 115,448.31/x
  3. Step 3: Cross multiply
    200,325.78x = 276,462.90 × 115,448.31
  4. Step 4: Simplify right side
    200,325.78x = 31,917,174,582.70
  5. Step 5: Solve for x
    x = 31,917,174,582.70/200,325.78
  6. Step 6: Final answer
    x = 159,326.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.