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Finding the Fourth Proportional to 310,459.92, 465,738.21 and 100,119.12

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Solution

The fourth proportional to 310,459.92, 465,738.21 and 100,119.12 is: 150,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,459.92 : 465,738.21 = 100,119.12 : x
  2. Step 2: Convert to fraction form
    310,459.92/465,738.21 = 100,119.12/x
  3. Step 3: Cross multiply
    310,459.92x = 465,738.21 × 100,119.12
  4. Step 4: Simplify right side
    310,459.92x = 46,629,299,735.58
  5. Step 5: Solve for x
    x = 46,629,299,735.58/310,459.92
  6. Step 6: Final answer
    x = 150,194.27

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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.