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Finding the Fourth Proportional to 301,102.28, 414,478.20 and 260,247.80

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Solution

The fourth proportional to 301,102.28, 414,478.20 and 260,247.80 is: 358,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,102.28 : 414,478.20 = 260,247.80 : x
  2. Step 2: Convert to fraction form
    301,102.28/414,478.20 = 260,247.80/x
  3. Step 3: Cross multiply
    301,102.28x = 414,478.20 × 260,247.80
  4. Step 4: Simplify right side
    301,102.28x = 107,867,039,697.96
  5. Step 5: Solve for x
    x = 107,867,039,697.96/301,102.28
  6. Step 6: Final answer
    x = 358,240.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.