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Finding the Fourth Proportional to 263,513.40, 363,648.40 and 142,654.60

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Solution

The fourth proportional to 263,513.40, 363,648.40 and 142,654.60 is: 196,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513.40 : 363,648.40 = 142,654.60 : x
  2. Step 2: Convert to fraction form
    263,513.40/363,648.40 = 142,654.60/x
  3. Step 3: Cross multiply
    263,513.40x = 363,648.40 × 142,654.60
  4. Step 4: Simplify right side
    263,513.40x = 51,876,117,042.64
  5. Step 5: Solve for x
    x = 51,876,117,042.64/263,513.40
  6. Step 6: Final answer
    x = 196,863.30

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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.