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Finding the Fourth Proportional to 397,762.12, 548,936.22 and 228,021.76

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Solution

The fourth proportional to 397,762.12, 548,936.22 and 228,021.76 is: 314,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,762.12 : 548,936.22 = 228,021.76 : x
  2. Step 2: Convert to fraction form
    397,762.12/548,936.22 = 228,021.76/x
  3. Step 3: Cross multiply
    397,762.12x = 548,936.22 × 228,021.76
  4. Step 4: Simplify right side
    397,762.12x = 125,169,403,012.15
  5. Step 5: Solve for x
    x = 125,169,403,012.15/397,762.12
  6. Step 6: Final answer
    x = 314,684.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.