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Finding the Fourth Proportional to 382,950.95, 528,392.25 and 221,796.36

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Solution

The fourth proportional to 382,950.95, 528,392.25 and 221,796.36 is: 306,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,950.95 : 528,392.25 = 221,796.36 : x
  2. Step 2: Convert to fraction form
    382,950.95/528,392.25 = 221,796.36/x
  3. Step 3: Cross multiply
    382,950.95x = 528,392.25 × 221,796.36
  4. Step 4: Simplify right side
    382,950.95x = 117,195,477,702.21
  5. Step 5: Solve for x
    x = 117,195,477,702.21/382,950.95
  6. Step 6: Final answer
    x = 306,032.61

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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.