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Finding the Fourth Proportional to 394,536.24, 543,820.26 and 308,343

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Solution

The fourth proportional to 394,536.24, 543,820.26 and 308,343 is: 425,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,536.24 : 543,820.26 = 308,343 : x
  2. Step 2: Convert to fraction form
    394,536.24/543,820.26 = 308,343/x
  3. Step 3: Cross multiply
    394,536.24x = 543,820.26 × 308,343
  4. Step 4: Simplify right side
    394,536.24x = 167,683,170,429.18
  5. Step 5: Solve for x
    x = 167,683,170,429.18/394,536.24
  6. Step 6: Final answer
    x = 425,013.35

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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.