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Finding the Fourth Proportional to 309,640.40, 464,460.60 and 297,830.60

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Solution

The fourth proportional to 309,640.40, 464,460.60 and 297,830.60 is: 446,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,640.40 : 464,460.60 = 297,830.60 : x
  2. Step 2: Convert to fraction form
    309,640.40/464,460.60 = 297,830.60/x
  3. Step 3: Cross multiply
    309,640.40x = 464,460.60 × 297,830.60
  4. Step 4: Simplify right side
    309,640.40x = 138,330,579,174.36
  5. Step 5: Solve for x
    x = 138,330,579,174.36/309,640.40
  6. Step 6: Final answer
    x = 446,745.90

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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.