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Finding the Fourth Proportional to 299,438.34, 448,783.69 and 149,721.44

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Solution

The fourth proportional to 299,438.34, 448,783.69 and 149,721.44 is: 224,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,438.34 : 448,783.69 = 149,721.44 : x
  2. Step 2: Convert to fraction form
    299,438.34/448,783.69 = 149,721.44/x
  3. Step 3: Cross multiply
    299,438.34x = 448,783.69 × 149,721.44
  4. Step 4: Simplify right side
    299,438.34x = 67,192,540,315.31
  5. Step 5: Solve for x
    x = 67,192,540,315.31/299,438.34
  6. Step 6: Final answer
    x = 224,395.25

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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.