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Finding the Fourth Proportional to 343,954.28, 474,670.54 and 198,755.24

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Solution

The fourth proportional to 343,954.28, 474,670.54 and 198,755.24 is: 274,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,954.28 : 474,670.54 = 198,755.24 : x
  2. Step 2: Convert to fraction form
    343,954.28/474,670.54 = 198,755.24/x
  3. Step 3: Cross multiply
    343,954.28x = 474,670.54 × 198,755.24
  4. Step 4: Simplify right side
    343,954.28x = 94,343,257,098.63
  5. Step 5: Solve for x
    x = 94,343,257,098.63/343,954.28
  6. Step 6: Final answer
    x = 274,290.11

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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.