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Finding the Fourth Proportional to 262,014.40, 361,213.74 and 221,565.88

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Solution

The fourth proportional to 262,014.40, 361,213.74 and 221,565.88 is: 305,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,014.40 : 361,213.74 = 221,565.88 : x
  2. Step 2: Convert to fraction form
    262,014.40/361,213.74 = 221,565.88/x
  3. Step 3: Cross multiply
    262,014.40x = 361,213.74 × 221,565.88
  4. Step 4: Simplify right side
    262,014.40x = 80,032,640,171.19
  5. Step 5: Solve for x
    x = 80,032,640,171.19/262,014.40
  6. Step 6: Final answer
    x = 305,451.30

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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.