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Finding the Fourth Proportional to 382,019.76, 572,486.16 and 281,388.48

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Solution

The fourth proportional to 382,019.76, 572,486.16 and 281,388.48 is: 421,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,019.76 : 572,486.16 = 281,388.48 : x
  2. Step 2: Convert to fraction form
    382,019.76/572,486.16 = 281,388.48/x
  3. Step 3: Cross multiply
    382,019.76x = 572,486.16 × 281,388.48
  4. Step 4: Simplify right side
    382,019.76x = 161,091,010,383.44
  5. Step 5: Solve for x
    x = 161,091,010,383.44/382,019.76
  6. Step 6: Final answer
    x = 421,682.40

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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.