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Finding the Fourth Proportional to 260,174.20, 389,807.70 and 119,644.60

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Solution

The fourth proportional to 260,174.20, 389,807.70 and 119,644.60 is: 179,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,174.20 : 389,807.70 = 119,644.60 : x
  2. Step 2: Convert to fraction form
    260,174.20/389,807.70 = 119,644.60/x
  3. Step 3: Cross multiply
    260,174.20x = 389,807.70 × 119,644.60
  4. Step 4: Simplify right side
    260,174.20x = 46,638,386,343.42
  5. Step 5: Solve for x
    x = 46,638,386,343.42/260,174.20
  6. Step 6: Final answer
    x = 179,258.31

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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.