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Finding the Fourth Proportional to 262,226.40, 361,779.12 and 154,742.64

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Solution

The fourth proportional to 262,226.40, 361,779.12 and 154,742.64 is: 213,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,226.40 : 361,779.12 = 154,742.64 : x
  2. Step 2: Convert to fraction form
    262,226.40/361,779.12 = 154,742.64/x
  3. Step 3: Cross multiply
    262,226.40x = 361,779.12 × 154,742.64
  4. Step 4: Simplify right side
    262,226.40x = 55,982,656,125.68
  5. Step 5: Solve for x
    x = 55,982,656,125.68/262,226.40
  6. Step 6: Final answer
    x = 213,489.78

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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.