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Finding the Fourth Proportional to 259,771.24, 389,656.86 and 119,647.72

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Solution

The fourth proportional to 259,771.24, 389,656.86 and 119,647.72 is: 179,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,771.24 : 389,656.86 = 119,647.72 : x
  2. Step 2: Convert to fraction form
    259,771.24/389,656.86 = 119,647.72/x
  3. Step 3: Cross multiply
    259,771.24x = 389,656.86 × 119,647.72
  4. Step 4: Simplify right side
    259,771.24x = 46,621,554,881.36
  5. Step 5: Solve for x
    x = 46,621,554,881.36/259,771.24
  6. Step 6: Final answer
    x = 179,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.