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Finding the Fourth Proportional to 512,079.58, 706,796.31 and 311,044.06

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Solution

The fourth proportional to 512,079.58, 706,796.31 and 311,044.06 is: 429,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,079.58 : 706,796.31 = 311,044.06 : x
  2. Step 2: Convert to fraction form
    512,079.58/706,796.31 = 311,044.06/x
  3. Step 3: Cross multiply
    512,079.58x = 706,796.31 × 311,044.06
  4. Step 4: Simplify right side
    512,079.58x = 219,844,793,855.42
  5. Step 5: Solve for x
    x = 219,844,793,855.42/512,079.58
  6. Step 6: Final answer
    x = 429,317.63

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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.