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Finding the Fourth Proportional to 299,490.12, 449,299.62 and 86,256.54

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Solution

The fourth proportional to 299,490.12, 449,299.62 and 86,256.54 is: 129,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,490.12 : 449,299.62 = 86,256.54 : x
  2. Step 2: Convert to fraction form
    299,490.12/449,299.62 = 86,256.54/x
  3. Step 3: Cross multiply
    299,490.12x = 449,299.62 × 86,256.54
  4. Step 4: Simplify right side
    299,490.12x = 38,755,030,644.51
  5. Step 5: Solve for x
    x = 38,755,030,644.51/299,490.12
  6. Step 6: Final answer
    x = 129,403.37

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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.