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Finding the Fourth Proportional to 511,310.02, 705,466.10 and 330,029.60

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Solution

The fourth proportional to 511,310.02, 705,466.10 and 330,029.60 is: 455,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,310.02 : 705,466.10 = 330,029.60 : x
  2. Step 2: Convert to fraction form
    511,310.02/705,466.10 = 330,029.60/x
  3. Step 3: Cross multiply
    511,310.02x = 705,466.10 × 330,029.60
  4. Step 4: Simplify right side
    511,310.02x = 232,824,694,796.56
  5. Step 5: Solve for x
    x = 232,824,694,796.56/511,310.02
  6. Step 6: Final answer
    x = 455,349.37

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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.