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Finding the Fourth Proportional to 257,604.03, 386,327.31 and 178,152.57

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Solution

The fourth proportional to 257,604.03, 386,327.31 and 178,152.57 is: 267,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,604.03 : 386,327.31 = 178,152.57 : x
  2. Step 2: Convert to fraction form
    257,604.03/386,327.31 = 178,152.57/x
  3. Step 3: Cross multiply
    257,604.03x = 386,327.31 × 178,152.57
  4. Step 4: Simplify right side
    257,604.03x = 68,825,203,137.69
  5. Step 5: Solve for x
    x = 68,825,203,137.69/257,604.03
  6. Step 6: Final answer
    x = 267,174.40

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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.