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Finding the Fourth Proportional to 279,766.40, 419,773.64 and 146,615

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Solution

The fourth proportional to 279,766.40, 419,773.64 and 146,615 is: 219,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,766.40 : 419,773.64 = 146,615 : x
  2. Step 2: Convert to fraction form
    279,766.40/419,773.64 = 146,615/x
  3. Step 3: Cross multiply
    279,766.40x = 419,773.64 × 146,615
  4. Step 4: Simplify right side
    279,766.40x = 61,545,112,228.60
  5. Step 5: Solve for x
    x = 61,545,112,228.60/279,766.40
  6. Step 6: Final answer
    x = 219,987.50

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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.