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Finding the Fourth Proportional to 543,675.70, 814,711.65 and 394,230.70

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Solution

The fourth proportional to 543,675.70, 814,711.65 and 394,230.70 is: 590,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,675.70 : 814,711.65 = 394,230.70 : x
  2. Step 2: Convert to fraction form
    543,675.70/814,711.65 = 394,230.70/x
  3. Step 3: Cross multiply
    543,675.70x = 814,711.65 × 394,230.70
  4. Step 4: Simplify right side
    543,675.70x = 321,184,344,077.66
  5. Step 5: Solve for x
    x = 321,184,344,077.66/543,675.70
  6. Step 6: Final answer
    x = 590,764.58

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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.