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Finding the Fourth Proportional to 263,137.31, 363,128.97 and 148,415.59

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Solution

The fourth proportional to 263,137.31, 363,128.97 and 148,415.59 is: 204,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,137.31 : 363,128.97 = 148,415.59 : x
  2. Step 2: Convert to fraction form
    263,137.31/363,128.97 = 148,415.59/x
  3. Step 3: Cross multiply
    263,137.31x = 363,128.97 × 148,415.59
  4. Step 4: Simplify right side
    263,137.31x = 53,894,001,339.11
  5. Step 5: Solve for x
    x = 53,894,001,339.11/263,137.31
  6. Step 6: Final answer
    x = 204,813.23

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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.