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Finding the Fourth Proportional to 260,385.75, 359,315.33 and 145,644.48

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Solution

The fourth proportional to 260,385.75, 359,315.33 and 145,644.48 is: 200,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,385.75 : 359,315.33 = 145,644.48 : x
  2. Step 2: Convert to fraction form
    260,385.75/359,315.33 = 145,644.48/x
  3. Step 3: Cross multiply
    260,385.75x = 359,315.33 × 145,644.48
  4. Step 4: Simplify right side
    260,385.75x = 52,332,293,665.66
  5. Step 5: Solve for x
    x = 52,332,293,665.66/260,385.75
  6. Step 6: Final answer
    x = 200,979.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.