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Finding the Fourth Proportional to 262,107.36, 361,341.72 and 221,658.48

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Solution

The fourth proportional to 262,107.36, 361,341.72 and 221,658.48 is: 305,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,107.36 : 361,341.72 = 221,658.48 : x
  2. Step 2: Convert to fraction form
    262,107.36/361,341.72 = 221,658.48/x
  3. Step 3: Cross multiply
    262,107.36x = 361,341.72 × 221,658.48
  4. Step 4: Simplify right side
    262,107.36x = 80,094,456,415.79
  5. Step 5: Solve for x
    x = 80,094,456,415.79/262,107.36
  6. Step 6: Final answer
    x = 305,578.81

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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.