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Finding the Fourth Proportional to 538,730.12, 743,481.08 and 297,012.33

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Solution

The fourth proportional to 538,730.12, 743,481.08 and 297,012.33 is: 409,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,730.12 : 743,481.08 = 297,012.33 : x
  2. Step 2: Convert to fraction form
    538,730.12/743,481.08 = 297,012.33/x
  3. Step 3: Cross multiply
    538,730.12x = 743,481.08 × 297,012.33
  4. Step 4: Simplify right side
    538,730.12x = 220,823,046,396.66
  5. Step 5: Solve for x
    x = 220,823,046,396.66/538,730.12
  6. Step 6: Final answer
    x = 409,895.49

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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.