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Finding the Fourth Proportional to 262,577.52, 393,863.40 and 178,128.54

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Solution

The fourth proportional to 262,577.52, 393,863.40 and 178,128.54 is: 267,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577.52 : 393,863.40 = 178,128.54 : x
  2. Step 2: Convert to fraction form
    262,577.52/393,863.40 = 178,128.54/x
  3. Step 3: Cross multiply
    262,577.52x = 393,863.40 × 178,128.54
  4. Step 4: Simplify right side
    262,577.52x = 70,158,312,401.44
  5. Step 5: Solve for x
    x = 70,158,312,401.44/262,577.52
  6. Step 6: Final answer
    x = 267,190.86

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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.