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Finding the Fourth Proportional to 228,449.34, 342,710.73 and 78,652.80

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Solution

The fourth proportional to 228,449.34, 342,710.73 and 78,652.80 is: 117,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,449.34 : 342,710.73 = 78,652.80 : x
  2. Step 2: Convert to fraction form
    228,449.34/342,710.73 = 78,652.80/x
  3. Step 3: Cross multiply
    228,449.34x = 342,710.73 × 78,652.80
  4. Step 4: Simplify right side
    228,449.34x = 26,955,158,504.54
  5. Step 5: Solve for x
    x = 26,955,158,504.54/228,449.34
  6. Step 6: Final answer
    x = 117,991.84

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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.