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Finding the Fourth Proportional to 260,499.60, 390,946.20 and 190,559.34

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Solution

The fourth proportional to 260,499.60, 390,946.20 and 190,559.34 is: 285,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,499.60 : 390,946.20 = 190,559.34 : x
  2. Step 2: Convert to fraction form
    260,499.60/390,946.20 = 190,559.34/x
  3. Step 3: Cross multiply
    260,499.60x = 390,946.20 × 190,559.34
  4. Step 4: Simplify right side
    260,499.60x = 74,498,449,847.51
  5. Step 5: Solve for x
    x = 74,498,449,847.51/260,499.60
  6. Step 6: Final answer
    x = 285,982.97

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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.