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Finding the Fourth Proportional to 348,716.70, 522,576 and 198,647.28

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Solution

The fourth proportional to 348,716.70, 522,576 and 198,647.28 is: 297,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,716.70 : 522,576 = 198,647.28 : x
  2. Step 2: Convert to fraction form
    348,716.70/522,576 = 198,647.28/x
  3. Step 3: Cross multiply
    348,716.70x = 522,576 × 198,647.28
  4. Step 4: Simplify right side
    348,716.70x = 103,808,300,993.28
  5. Step 5: Solve for x
    x = 103,808,300,993.28/348,716.70
  6. Step 6: Final answer
    x = 297,686.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.