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Finding the Fourth Proportional to 299,076.90, 448,615.35 and 281,362.20

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Solution

The fourth proportional to 299,076.90, 448,615.35 and 281,362.20 is: 422,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,076.90 : 448,615.35 = 281,362.20 : x
  2. Step 2: Convert to fraction form
    299,076.90/448,615.35 = 281,362.20/x
  3. Step 3: Cross multiply
    299,076.90x = 448,615.35 × 281,362.20
  4. Step 4: Simplify right side
    299,076.90x = 126,223,401,829.77
  5. Step 5: Solve for x
    x = 126,223,401,829.77/299,076.90
  6. Step 6: Final answer
    x = 422,043.30

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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.