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Finding the Fourth Proportional to 260,798.60, 391,052.10 and 120,383.48

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Solution

The fourth proportional to 260,798.60, 391,052.10 and 120,383.48 is: 180,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,798.60 : 391,052.10 = 120,383.48 : x
  2. Step 2: Convert to fraction form
    260,798.60/391,052.10 = 120,383.48/x
  3. Step 3: Cross multiply
    260,798.60x = 391,052.10 × 120,383.48
  4. Step 4: Simplify right side
    260,798.60x = 47,076,212,659.31
  5. Step 5: Solve for x
    x = 47,076,212,659.31/260,798.60
  6. Step 6: Final answer
    x = 180,507.92

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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.