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Finding the Fourth Proportional to 265,408.48, 397,905.12 and 180,959.20

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Solution

The fourth proportional to 265,408.48, 397,905.12 and 180,959.20 is: 271,297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,408.48 : 397,905.12 = 180,959.20 : x
  2. Step 2: Convert to fraction form
    265,408.48/397,905.12 = 180,959.20/x
  3. Step 3: Cross multiply
    265,408.48x = 397,905.12 × 180,959.20
  4. Step 4: Simplify right side
    265,408.48x = 72,004,592,191.10
  5. Step 5: Solve for x
    x = 72,004,592,191.10/265,408.48
  6. Step 6: Final answer
    x = 271,297.26

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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.