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Finding the Fourth Proportional to 257,721.34, 386,426.63 and 115,540.90

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Solution

The fourth proportional to 257,721.34, 386,426.63 and 115,540.90 is: 173,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,721.34 : 386,426.63 = 115,540.90 : x
  2. Step 2: Convert to fraction form
    257,721.34/386,426.63 = 115,540.90/x
  3. Step 3: Cross multiply
    257,721.34x = 386,426.63 × 115,540.90
  4. Step 4: Simplify right side
    257,721.34x = 44,648,078,682.03
  5. Step 5: Solve for x
    x = 44,648,078,682.03/257,721.34
  6. Step 6: Final answer
    x = 173,241.69

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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.