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Finding the Fourth Proportional to 511,970.40, 768,830.40 and 335,260.80

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Solution

The fourth proportional to 511,970.40, 768,830.40 and 335,260.80 is: 503,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,970.40 : 768,830.40 = 335,260.80 : x
  2. Step 2: Convert to fraction form
    511,970.40/768,830.40 = 335,260.80/x
  3. Step 3: Cross multiply
    511,970.40x = 768,830.40 × 335,260.80
  4. Step 4: Simplify right side
    511,970.40x = 257,758,694,968.32
  5. Step 5: Solve for x
    x = 257,758,694,968.32/511,970.40
  6. Step 6: Final answer
    x = 503,464.06

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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.