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Finding the Fourth Proportional to 394,948, 545,028.60 and 216,100

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Solution

The fourth proportional to 394,948, 545,028.60 and 216,100 is: 298,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,948 : 545,028.60 = 216,100 : x
  2. Step 2: Convert to fraction form
    394,948/545,028.60 = 216,100/x
  3. Step 3: Cross multiply
    394,948x = 545,028.60 × 216,100
  4. Step 4: Simplify right side
    394,948x = 117,780,680,460
  5. Step 5: Solve for x
    x = 117,780,680,460/394,948
  6. Step 6: Final answer
    x = 298,218.20

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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.