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Finding the Fourth Proportional to 398,602.75, 550,093.68 and 228,847.81

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Solution

The fourth proportional to 398,602.75, 550,093.68 and 228,847.81 is: 315,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,602.75 : 550,093.68 = 228,847.81 : x
  2. Step 2: Convert to fraction form
    398,602.75/550,093.68 = 228,847.81/x
  3. Step 3: Cross multiply
    398,602.75x = 550,093.68 × 228,847.81
  4. Step 4: Simplify right side
    398,602.75x = 125,887,733,962.84
  5. Step 5: Solve for x
    x = 125,887,733,962.84/398,602.75
  6. Step 6: Final answer
    x = 315,822.54

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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.