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Finding the Fourth Proportional to 260,797.47, 391,196.22 and 142,404.23

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Solution

The fourth proportional to 260,797.47, 391,196.22 and 142,404.23 is: 213,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,797.47 : 391,196.22 = 142,404.23 : x
  2. Step 2: Convert to fraction form
    260,797.47/391,196.22 = 142,404.23/x
  3. Step 3: Cross multiply
    260,797.47x = 391,196.22 × 142,404.23
  4. Step 4: Simplify right side
    260,797.47x = 55,707,993,820.01
  5. Step 5: Solve for x
    x = 55,707,993,820.01/260,797.47
  6. Step 6: Final answer
    x = 213,606.34

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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.