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Finding the Fourth Proportional to 441,378, 609,101.64 and 240,175.44

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Solution

The fourth proportional to 441,378, 609,101.64 and 240,175.44 is: 331,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,378 : 609,101.64 = 240,175.44 : x
  2. Step 2: Convert to fraction form
    441,378/609,101.64 = 240,175.44/x
  3. Step 3: Cross multiply
    441,378x = 609,101.64 × 240,175.44
  4. Step 4: Simplify right side
    441,378x = 146,291,254,391.72
  5. Step 5: Solve for x
    x = 146,291,254,391.72/441,378
  6. Step 6: Final answer
    x = 331,442.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.