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Finding the Fourth Proportional to 376,284.80, 564,405.21 and 275,185.26

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Solution

The fourth proportional to 376,284.80, 564,405.21 and 275,185.26 is: 412,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,284.80 : 564,405.21 = 275,185.26 : x
  2. Step 2: Convert to fraction form
    376,284.80/564,405.21 = 275,185.26/x
  3. Step 3: Cross multiply
    376,284.80x = 564,405.21 × 275,185.26
  4. Step 4: Simplify right side
    376,284.80x = 155,315,994,459.21
  5. Step 5: Solve for x
    x = 155,315,994,459.21/376,284.80
  6. Step 6: Final answer
    x = 412,761.81

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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.