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Finding the Fourth Proportional to 543,694, 750,297.74 and 305,230

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Solution

The fourth proportional to 543,694, 750,297.74 and 305,230 is: 421,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,694 : 750,297.74 = 305,230 : x
  2. Step 2: Convert to fraction form
    543,694/750,297.74 = 305,230/x
  3. Step 3: Cross multiply
    543,694x = 750,297.74 × 305,230
  4. Step 4: Simplify right side
    543,694x = 229,013,379,180.20
  5. Step 5: Solve for x
    x = 229,013,379,180.20/543,694
  6. Step 6: Final answer
    x = 421,217.41

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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.