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Finding the Fourth Proportional to 441,948.78, 663,213.69 and 242,409

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Solution

The fourth proportional to 441,948.78, 663,213.69 and 242,409 is: 363,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,948.78 : 663,213.69 = 242,409 : x
  2. Step 2: Convert to fraction form
    441,948.78/663,213.69 = 242,409/x
  3. Step 3: Cross multiply
    441,948.78x = 663,213.69 × 242,409
  4. Step 4: Simplify right side
    441,948.78x = 160,768,967,379.21
  5. Step 5: Solve for x
    x = 160,768,967,379.21/441,948.78
  6. Step 6: Final answer
    x = 363,772.85

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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.