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Finding the Fourth Proportional to 257,025.44, 385,630.43 and 114,858.82

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Solution

The fourth proportional to 257,025.44, 385,630.43 and 114,858.82 is: 172,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025.44 : 385,630.43 = 114,858.82 : x
  2. Step 2: Convert to fraction form
    257,025.44/385,630.43 = 114,858.82/x
  3. Step 3: Cross multiply
    257,025.44x = 385,630.43 × 114,858.82
  4. Step 4: Simplify right side
    257,025.44x = 44,293,056,145.89
  5. Step 5: Solve for x
    x = 44,293,056,145.89/257,025.44
  6. Step 6: Final answer
    x = 172,329.46

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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.