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Finding the Fourth Proportional to 382,799.92, 528,241.38 and 221,643.52

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Solution

The fourth proportional to 382,799.92, 528,241.38 and 221,643.52 is: 305,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,799.92 : 528,241.38 = 221,643.52 : x
  2. Step 2: Convert to fraction form
    382,799.92/528,241.38 = 221,643.52/x
  3. Step 3: Cross multiply
    382,799.92x = 528,241.38 × 221,643.52
  4. Step 4: Simplify right side
    382,799.92x = 117,081,278,872.86
  5. Step 5: Solve for x
    x = 117,081,278,872.86/382,799.92
  6. Step 6: Final answer
    x = 305,855.02

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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.