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Finding the Fourth Proportional to 289,181.40, 399,093.12 and 213,048.60

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Solution

The fourth proportional to 289,181.40, 399,093.12 and 213,048.60 is: 294,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,181.40 : 399,093.12 = 213,048.60 : x
  2. Step 2: Convert to fraction form
    289,181.40/399,093.12 = 213,048.60/x
  3. Step 3: Cross multiply
    289,181.40x = 399,093.12 × 213,048.60
  4. Step 4: Simplify right side
    289,181.40x = 85,026,230,485.63
  5. Step 5: Solve for x
    x = 85,026,230,485.63/289,181.40
  6. Step 6: Final answer
    x = 294,023.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.