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Finding the Fourth Proportional to 468,052.80, 645,784.56 and 298,147.20

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Solution

The fourth proportional to 468,052.80, 645,784.56 and 298,147.20 is: 411,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,052.80 : 645,784.56 = 298,147.20 : x
  2. Step 2: Convert to fraction form
    468,052.80/645,784.56 = 298,147.20/x
  3. Step 3: Cross multiply
    468,052.80x = 645,784.56 × 298,147.20
  4. Step 4: Simplify right side
    468,052.80x = 192,538,858,367.23
  5. Step 5: Solve for x
    x = 192,538,858,367.23/468,052.80
  6. Step 6: Final answer
    x = 411,361.41

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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.