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Finding the Fourth Proportional to 378,911.84, 568,474.37 and 165,698.46

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Solution

The fourth proportional to 378,911.84, 568,474.37 and 165,698.46 is: 248,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,911.84 : 568,474.37 = 165,698.46 : x
  2. Step 2: Convert to fraction form
    378,911.84/568,474.37 = 165,698.46/x
  3. Step 3: Cross multiply
    378,911.84x = 568,474.37 × 165,698.46
  4. Step 4: Simplify right side
    378,911.84x = 94,195,326,829.98
  5. Step 5: Solve for x
    x = 94,195,326,829.98/378,911.84
  6. Step 6: Final answer
    x = 248,594.31

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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.