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Finding the Fourth Proportional to 382,938.31, 528,525.72 and 221,793.31

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Solution

The fourth proportional to 382,938.31, 528,525.72 and 221,793.31 is: 306,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,938.31 : 528,525.72 = 221,793.31 : x
  2. Step 2: Convert to fraction form
    382,938.31/528,525.72 = 221,793.31/x
  3. Step 3: Cross multiply
    382,938.31x = 528,525.72 × 221,793.31
  4. Step 4: Simplify right side
    382,938.31x = 117,223,467,537.62
  5. Step 5: Solve for x
    x = 117,223,467,537.62/382,938.31
  6. Step 6: Final answer
    x = 306,115.80

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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.