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Finding the Fourth Proportional to 228,790.98, 343,164.60 and 139,998.78

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Solution

The fourth proportional to 228,790.98, 343,164.60 and 139,998.78 is: 209,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,790.98 : 343,164.60 = 139,998.78 : x
  2. Step 2: Convert to fraction form
    228,790.98/343,164.60 = 139,998.78/x
  3. Step 3: Cross multiply
    228,790.98x = 343,164.60 × 139,998.78
  4. Step 4: Simplify right side
    228,790.98x = 48,042,625,339.19
  5. Step 5: Solve for x
    x = 48,042,625,339.19/228,790.98
  6. Step 6: Final answer
    x = 209,984.79

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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.