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Finding the Fourth Proportional to 279,896.40, 419,575.80 and 92,811.60

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Solution

The fourth proportional to 279,896.40, 419,575.80 and 92,811.60 is: 139,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,896.40 : 419,575.80 = 92,811.60 : x
  2. Step 2: Convert to fraction form
    279,896.40/419,575.80 = 92,811.60/x
  3. Step 3: Cross multiply
    279,896.40x = 419,575.80 × 92,811.60
  4. Step 4: Simplify right side
    279,896.40x = 38,941,501,319.28
  5. Step 5: Solve for x
    x = 38,941,501,319.28/279,896.40
  6. Step 6: Final answer
    x = 139,128.27

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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.