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Finding the Fourth Proportional to 398,982.93, 550,476.50 and 262,968

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Solution

The fourth proportional to 398,982.93, 550,476.50 and 262,968 is: 362,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,982.93 : 550,476.50 = 262,968 : x
  2. Step 2: Convert to fraction form
    398,982.93/550,476.50 = 262,968/x
  3. Step 3: Cross multiply
    398,982.93x = 550,476.50 × 262,968
  4. Step 4: Simplify right side
    398,982.93x = 144,757,704,252
  5. Step 5: Solve for x
    x = 144,757,704,252/398,982.93
  6. Step 6: Final answer
    x = 362,816.79

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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.