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Finding the Fourth Proportional to 299,142.60, 448,462.22 and 139,137.24

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Solution

The fourth proportional to 299,142.60, 448,462.22 and 139,137.24 is: 208,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,142.60 : 448,462.22 = 139,137.24 : x
  2. Step 2: Convert to fraction form
    299,142.60/448,462.22 = 139,137.24/x
  3. Step 3: Cross multiply
    299,142.60x = 448,462.22 × 139,137.24
  4. Step 4: Simplify right side
    299,142.60x = 62,397,795,535.07
  5. Step 5: Solve for x
    x = 62,397,795,535.07/299,142.60
  6. Step 6: Final answer
    x = 208,588.80

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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.