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Finding the Fourth Proportional to 299,434.34, 449,000.85 and 99,683.48

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Solution

The fourth proportional to 299,434.34, 449,000.85 and 99,683.48 is: 149,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434.34 : 449,000.85 = 99,683.48 : x
  2. Step 2: Convert to fraction form
    299,434.34/449,000.85 = 99,683.48/x
  3. Step 3: Cross multiply
    299,434.34x = 449,000.85 × 99,683.48
  4. Step 4: Simplify right side
    299,434.34x = 44,757,967,250.96
  5. Step 5: Solve for x
    x = 44,757,967,250.96/299,434.34
  6. Step 6: Final answer
    x = 149,475.06

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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.