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Finding the Fourth Proportional to 262,899.40, 394,486.80 and 120,787.60

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Solution

The fourth proportional to 262,899.40, 394,486.80 and 120,787.60 is: 181,244.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,899.40 : 394,486.80 = 120,787.60 : x
  2. Step 2: Convert to fraction form
    262,899.40/394,486.80 = 120,787.60/x
  3. Step 3: Cross multiply
    262,899.40x = 394,486.80 × 120,787.60
  4. Step 4: Simplify right side
    262,899.40x = 47,649,113,803.68
  5. Step 5: Solve for x
    x = 47,649,113,803.68/262,899.40
  6. Step 6: Final answer
    x = 181,244.67

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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.