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Finding the Fourth Proportional to 279,970.42, 419,893.44 and 80,289.94

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Solution

The fourth proportional to 279,970.42, 419,893.44 and 80,289.94 is: 120,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,970.42 : 419,893.44 = 80,289.94 : x
  2. Step 2: Convert to fraction form
    279,970.42/419,893.44 = 80,289.94/x
  3. Step 3: Cross multiply
    279,970.42x = 419,893.44 × 80,289.94
  4. Step 4: Simplify right side
    279,970.42x = 33,713,219,103.99
  5. Step 5: Solve for x
    x = 33,713,219,103.99/279,970.42
  6. Step 6: Final answer
    x = 120,417.08

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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.