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Finding the Fourth Proportional to 260,045.60, 389,809.20 and 119,559.20

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Solution

The fourth proportional to 260,045.60, 389,809.20 and 119,559.20 is: 179,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,045.60 : 389,809.20 = 119,559.20 : x
  2. Step 2: Convert to fraction form
    260,045.60/389,809.20 = 119,559.20/x
  3. Step 3: Cross multiply
    260,045.60x = 389,809.20 × 119,559.20
  4. Step 4: Simplify right side
    260,045.60x = 46,605,276,104.64
  5. Step 5: Solve for x
    x = 46,605,276,104.64/260,045.60
  6. Step 6: Final answer
    x = 179,219.63

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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.