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Finding the Fourth Proportional to 441,945.77, 663,209.19 and 242,406

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Solution

The fourth proportional to 441,945.77, 663,209.19 and 242,406 is: 363,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,945.77 : 663,209.19 = 242,406 : x
  2. Step 2: Convert to fraction form
    441,945.77/663,209.19 = 242,406/x
  3. Step 3: Cross multiply
    441,945.77x = 663,209.19 × 242,406
  4. Step 4: Simplify right side
    441,945.77x = 160,765,886,911.14
  5. Step 5: Solve for x
    x = 160,765,886,911.14/441,945.77
  6. Step 6: Final answer
    x = 363,768.36

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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.