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Finding the Fourth Proportional to 382,272.86, 527,477.50 and 221,142.91

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Solution

The fourth proportional to 382,272.86, 527,477.50 and 221,142.91 is: 305,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,272.86 : 527,477.50 = 221,142.91 : x
  2. Step 2: Convert to fraction form
    382,272.86/527,477.50 = 221,142.91/x
  3. Step 3: Cross multiply
    382,272.86x = 527,477.50 × 221,142.91
  4. Step 4: Simplify right side
    382,272.86x = 116,647,906,672.14
  5. Step 5: Solve for x
    x = 116,647,906,672.14/382,272.86
  6. Step 6: Final answer
    x = 305,143.05

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1.5x scale

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.