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Finding the Fourth Proportional to 274,492.01, 378,498.16 and 178,821.29

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Solution

The fourth proportional to 274,492.01, 378,498.16 and 178,821.29 is: 246,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,492.01 : 378,498.16 = 178,821.29 : x
  2. Step 2: Convert to fraction form
    274,492.01/378,498.16 = 178,821.29/x
  3. Step 3: Cross multiply
    274,492.01x = 378,498.16 × 178,821.29
  4. Step 4: Simplify right side
    274,492.01x = 67,683,529,233.83
  5. Step 5: Solve for x
    x = 67,683,529,233.83/274,492.01
  6. Step 6: Final answer
    x = 246,577.41

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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.