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Finding the Fourth Proportional to 382,109.64, 572,621.31 and 281,478.48

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Solution

The fourth proportional to 382,109.64, 572,621.31 and 281,478.48 is: 421,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,109.64 : 572,621.31 = 281,478.48 : x
  2. Step 2: Convert to fraction form
    382,109.64/572,621.31 = 281,478.48/x
  3. Step 3: Cross multiply
    382,109.64x = 572,621.31 × 281,478.48
  4. Step 4: Simplify right side
    382,109.64x = 161,180,575,954.41
  5. Step 5: Solve for x
    x = 161,180,575,954.41/382,109.64
  6. Step 6: Final answer
    x = 421,817.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.