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Finding the Fourth Proportional to 443,522.09, 665,043.44 and 139,858.97

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Solution

The fourth proportional to 443,522.09, 665,043.44 and 139,858.97 is: 209,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,522.09 : 665,043.44 = 139,858.97 : x
  2. Step 2: Convert to fraction form
    443,522.09/665,043.44 = 139,858.97/x
  3. Step 3: Cross multiply
    443,522.09x = 665,043.44 × 139,858.97
  4. Step 4: Simplify right side
    443,522.09x = 93,012,286,499.14
  5. Step 5: Solve for x
    x = 93,012,286,499.14/443,522.09
  6. Step 6: Final answer
    x = 209,712.86

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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.