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Finding the Fourth Proportional to 382,690.62, 528,177.77 and 221,643.57

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Solution

The fourth proportional to 382,690.62, 528,177.77 and 221,643.57 is: 305,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,690.62 : 528,177.77 = 221,643.57 : x
  2. Step 2: Convert to fraction form
    382,690.62/528,177.77 = 221,643.57/x
  3. Step 3: Cross multiply
    382,690.62x = 528,177.77 × 221,643.57
  4. Step 4: Simplify right side
    382,690.62x = 117,067,205,429.22
  5. Step 5: Solve for x
    x = 117,067,205,429.22/382,690.62
  6. Step 6: Final answer
    x = 305,905.60

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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.