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Finding the Fourth Proportional to 260,198.40, 390,103.20 and 142,003.20

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Solution

The fourth proportional to 260,198.40, 390,103.20 and 142,003.20 is: 212,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,198.40 : 390,103.20 = 142,003.20 : x
  2. Step 2: Convert to fraction form
    260,198.40/390,103.20 = 142,003.20/x
  3. Step 3: Cross multiply
    260,198.40x = 390,103.20 × 142,003.20
  4. Step 4: Simplify right side
    260,198.40x = 55,395,902,730.24
  5. Step 5: Solve for x
    x = 55,395,902,730.24/260,198.40
  6. Step 6: Final answer
    x = 212,898.71

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1.5x scale

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.