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Finding the Fourth Proportional to 262,925.40, 394,525.80 and 120,813.60

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Solution

The fourth proportional to 262,925.40, 394,525.80 and 120,813.60 is: 181,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,925.40 : 394,525.80 = 120,813.60 : x
  2. Step 2: Convert to fraction form
    262,925.40/394,525.80 = 120,813.60/x
  3. Step 3: Cross multiply
    262,925.40x = 394,525.80 × 120,813.60
  4. Step 4: Simplify right side
    262,925.40x = 47,664,082,190.88
  5. Step 5: Solve for x
    x = 47,664,082,190.88/262,925.40
  6. Step 6: Final answer
    x = 181,283.67

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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.