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Finding the Fourth Proportional to 263,615.80, 363,788 and 142,754.32

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Solution

The fourth proportional to 263,615.80, 363,788 and 142,754.32 is: 196,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,615.80 : 363,788 = 142,754.32 : x
  2. Step 2: Convert to fraction form
    263,615.80/363,788 = 142,754.32/x
  3. Step 3: Cross multiply
    263,615.80x = 363,788 × 142,754.32
  4. Step 4: Simplify right side
    263,615.80x = 51,932,308,564.16
  5. Step 5: Solve for x
    x = 51,932,308,564.16/263,615.80
  6. Step 6: Final answer
    x = 196,999.98

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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.