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Finding the Fourth Proportional to 208,419.45, 287,580.97 and 116,540.39

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Solution

The fourth proportional to 208,419.45, 287,580.97 and 116,540.39 is: 160,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,419.45 : 287,580.97 = 116,540.39 : x
  2. Step 2: Convert to fraction form
    208,419.45/287,580.97 = 116,540.39/x
  3. Step 3: Cross multiply
    208,419.45x = 287,580.97 × 116,540.39
  4. Step 4: Simplify right side
    208,419.45x = 33,514,796,991.82
  5. Step 5: Solve for x
    x = 33,514,796,991.82/208,419.45
  6. Step 6: Final answer
    x = 160,804.56

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1.5x scale

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.