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Finding the Fourth Proportional to 382,544.88, 527,976 and 221,372.16

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Solution

The fourth proportional to 382,544.88, 527,976 and 221,372.16 is: 305,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,544.88 : 527,976 = 221,372.16 : x
  2. Step 2: Convert to fraction form
    382,544.88/527,976 = 221,372.16/x
  3. Step 3: Cross multiply
    382,544.88x = 527,976 × 221,372.16
  4. Step 4: Simplify right side
    382,544.88x = 116,879,187,548.16
  5. Step 5: Solve for x
    x = 116,879,187,548.16/382,544.88
  6. Step 6: Final answer
    x = 305,530.65

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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.