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Finding the Fourth Proportional to 253,464.12, 379,840.86 and 197,046

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Solution

The fourth proportional to 253,464.12, 379,840.86 and 197,046 is: 295,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,464.12 : 379,840.86 = 197,046 : x
  2. Step 2: Convert to fraction form
    253,464.12/379,840.86 = 197,046/x
  3. Step 3: Cross multiply
    253,464.12x = 379,840.86 × 197,046
  4. Step 4: Simplify right side
    253,464.12x = 74,846,122,099.56
  5. Step 5: Solve for x
    x = 74,846,122,099.56/253,464.12
  6. Step 6: Final answer
    x = 295,292.77

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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.