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Finding the Fourth Proportional to 228,262, 342,548.52 and 80,518

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Solution

The fourth proportional to 228,262, 342,548.52 and 80,518 is: 120,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,262 : 342,548.52 = 80,518 : x
  2. Step 2: Convert to fraction form
    228,262/342,548.52 = 80,518/x
  3. Step 3: Cross multiply
    228,262x = 342,548.52 × 80,518
  4. Step 4: Simplify right side
    228,262x = 27,581,321,733.36
  5. Step 5: Solve for x
    x = 27,581,321,733.36/228,262
  6. Step 6: Final answer
    x = 120,831.86

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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.