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Finding the Fourth Proportional to 257,661.44, 386,311.10 and 113,498.86

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Solution

The fourth proportional to 257,661.44, 386,311.10 and 113,498.86 is: 170,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,661.44 : 386,311.10 = 113,498.86 : x
  2. Step 2: Convert to fraction form
    257,661.44/386,311.10 = 113,498.86/x
  3. Step 3: Cross multiply
    257,661.44x = 386,311.10 × 113,498.86
  4. Step 4: Simplify right side
    257,661.44x = 43,845,869,455.35
  5. Step 5: Solve for x
    x = 43,845,869,455.35/257,661.44
  6. Step 6: Final answer
    x = 170,168.53

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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.