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Finding the Fourth Proportional to 441,972.20, 663,054.30 and 161,489

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Solution

The fourth proportional to 441,972.20, 663,054.30 and 161,489 is: 242,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,972.20 : 663,054.30 = 161,489 : x
  2. Step 2: Convert to fraction form
    441,972.20/663,054.30 = 161,489/x
  3. Step 3: Cross multiply
    441,972.20x = 663,054.30 × 161,489
  4. Step 4: Simplify right side
    441,972.20x = 107,075,975,852.70
  5. Step 5: Solve for x
    x = 107,075,975,852.70/441,972.20
  6. Step 6: Final answer
    x = 242,268.58

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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.