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Finding the Fourth Proportional to 262,406.20, 393,609.30 and 120,251.20

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Solution

The fourth proportional to 262,406.20, 393,609.30 and 120,251.20 is: 180,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,406.20 : 393,609.30 = 120,251.20 : x
  2. Step 2: Convert to fraction form
    262,406.20/393,609.30 = 120,251.20/x
  3. Step 3: Cross multiply
    262,406.20x = 393,609.30 × 120,251.20
  4. Step 4: Simplify right side
    262,406.20x = 47,331,990,656.16
  5. Step 5: Solve for x
    x = 47,331,990,656.16/262,406.20
  6. Step 6: Final answer
    x = 180,376.80

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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.