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Finding the Fourth Proportional to 482,297.49, 723,395.07 and 198,018

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Solution

The fourth proportional to 482,297.49, 723,395.07 and 198,018 is: 297,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,297.49 : 723,395.07 = 198,018 : x
  2. Step 2: Convert to fraction form
    482,297.49/723,395.07 = 198,018/x
  3. Step 3: Cross multiply
    482,297.49x = 723,395.07 × 198,018
  4. Step 4: Simplify right side
    482,297.49x = 143,245,244,971.26
  5. Step 5: Solve for x
    x = 143,245,244,971.26/482,297.49
  6. Step 6: Final answer
    x = 297,005.99

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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.