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Finding the Fourth Proportional to 490,798.52, 677,297.94 and 309,627.44

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Solution

The fourth proportional to 490,798.52, 677,297.94 and 309,627.44 is: 427,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,798.52 : 677,297.94 = 309,627.44 : x
  2. Step 2: Convert to fraction form
    490,798.52/677,297.94 = 309,627.44/x
  3. Step 3: Cross multiply
    490,798.52x = 677,297.94 × 309,627.44
  4. Step 4: Simplify right side
    490,798.52x = 209,710,027,279.47
  5. Step 5: Solve for x
    x = 209,710,027,279.47/490,798.52
  6. Step 6: Final answer
    x = 427,283.33

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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.