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Finding the Fourth Proportional to 299,813.20, 449,719.80 and 282,317.20

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Solution

The fourth proportional to 299,813.20, 449,719.80 and 282,317.20 is: 423,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,813.20 : 449,719.80 = 282,317.20 : x
  2. Step 2: Convert to fraction form
    299,813.20/449,719.80 = 282,317.20/x
  3. Step 3: Cross multiply
    299,813.20x = 449,719.80 × 282,317.20
  4. Step 4: Simplify right side
    299,813.20x = 126,963,634,720.56
  5. Step 5: Solve for x
    x = 126,963,634,720.56/299,813.20
  6. Step 6: Final answer
    x = 423,475.80

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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.