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Finding the Fourth Proportional to 263,647.98, 363,832.40 and 142,786.50

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Solution

The fourth proportional to 263,647.98, 363,832.40 and 142,786.50 is: 197,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,647.98 : 363,832.40 = 142,786.50 : x
  2. Step 2: Convert to fraction form
    263,647.98/363,832.40 = 142,786.50/x
  3. Step 3: Cross multiply
    263,647.98x = 363,832.40 × 142,786.50
  4. Step 4: Simplify right side
    263,647.98x = 51,950,352,971.23
  5. Step 5: Solve for x
    x = 51,950,352,971.23/263,647.98
  6. Step 6: Final answer
    x = 197,044.38

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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.