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Finding the Fourth Proportional to 260,758.20, 390,683.70 and 120,228.60

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Solution

The fourth proportional to 260,758.20, 390,683.70 and 120,228.60 is: 180,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,758.20 : 390,683.70 = 120,228.60 : x
  2. Step 2: Convert to fraction form
    260,758.20/390,683.70 = 120,228.60/x
  3. Step 3: Cross multiply
    260,758.20x = 390,683.70 × 120,228.60
  4. Step 4: Simplify right side
    260,758.20x = 46,971,354,293.82
  5. Step 5: Solve for x
    x = 46,971,354,293.82/260,758.20
  6. Step 6: Final answer
    x = 180,133.76

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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.