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Finding the Fourth Proportional to 259,798.24, 389,712.48 and 72,824.32

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Solution

The fourth proportional to 259,798.24, 389,712.48 and 72,824.32 is: 109,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,798.24 : 389,712.48 = 72,824.32 : x
  2. Step 2: Convert to fraction form
    259,798.24/389,712.48 = 72,824.32/x
  3. Step 3: Cross multiply
    259,798.24x = 389,712.48 × 72,824.32
  4. Step 4: Simplify right side
    259,798.24x = 28,380,546,351.51
  5. Step 5: Solve for x
    x = 28,380,546,351.51/259,798.24
  6. Step 6: Final answer
    x = 109,240.72

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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.