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Finding the Fourth Proportional to 393,274.85, 542,652.22 and 221,148.23

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Solution

The fourth proportional to 393,274.85, 542,652.22 and 221,148.23 is: 305,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,274.85 : 542,652.22 = 221,148.23 : x
  2. Step 2: Convert to fraction form
    393,274.85/542,652.22 = 221,148.23/x
  3. Step 3: Cross multiply
    393,274.85x = 542,652.22 × 221,148.23
  4. Step 4: Simplify right side
    393,274.85x = 120,006,577,958.57
  5. Step 5: Solve for x
    x = 120,006,577,958.57/393,274.85
  6. Step 6: Final answer
    x = 305,146.84

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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.