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Finding the Fourth Proportional to 557,492.12, 769,451.16 and 331,093.88

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Solution

The fourth proportional to 557,492.12, 769,451.16 and 331,093.88 is: 456,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,492.12 : 769,451.16 = 331,093.88 : x
  2. Step 2: Convert to fraction form
    557,492.12/769,451.16 = 331,093.88/x
  3. Step 3: Cross multiply
    557,492.12x = 769,451.16 × 331,093.88
  4. Step 4: Simplify right side
    557,492.12x = 254,760,570,034.90
  5. Step 5: Solve for x
    x = 254,760,570,034.90/557,492.12
  6. Step 6: Final answer
    x = 456,976.09

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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.