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Finding the Fourth Proportional to 260,390.44, 359,321.80 and 145,649.20

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Solution

The fourth proportional to 260,390.44, 359,321.80 and 145,649.20 is: 200,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,390.44 : 359,321.80 = 145,649.20 : x
  2. Step 2: Convert to fraction form
    260,390.44/359,321.80 = 145,649.20/x
  3. Step 3: Cross multiply
    260,390.44x = 359,321.80 × 145,649.20
  4. Step 4: Simplify right side
    260,390.44x = 52,334,932,712.56
  5. Step 5: Solve for x
    x = 52,334,932,712.56/260,390.44
  6. Step 6: Final answer
    x = 200,986.38

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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.