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Finding the Fourth Proportional to 281,408.72, 421,443 and 162,830.16

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Solution

The fourth proportional to 281,408.72, 421,443 and 162,830.16 is: 243,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,408.72 : 421,443 = 162,830.16 : x
  2. Step 2: Convert to fraction form
    281,408.72/421,443 = 162,830.16/x
  3. Step 3: Cross multiply
    281,408.72x = 421,443 × 162,830.16
  4. Step 4: Simplify right side
    281,408.72x = 68,623,631,120.88
  5. Step 5: Solve for x
    x = 68,623,631,120.88/281,408.72
  6. Step 6: Final answer
    x = 243,857.51

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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.