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Finding the Fourth Proportional to 257,720.46, 386,425.34 and 115,540

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Solution

The fourth proportional to 257,720.46, 386,425.34 and 115,540 is: 173,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,720.46 : 386,425.34 = 115,540 : x
  2. Step 2: Convert to fraction form
    257,720.46/386,425.34 = 115,540/x
  3. Step 3: Cross multiply
    257,720.46x = 386,425.34 × 115,540
  4. Step 4: Simplify right side
    257,720.46x = 44,647,583,783.60
  5. Step 5: Solve for x
    x = 44,647,583,783.60/257,720.46
  6. Step 6: Final answer
    x = 173,240.35

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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.