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Finding the Fourth Proportional to 299,563.75, 449,568.80 and 219,807.81

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Solution

The fourth proportional to 299,563.75, 449,568.80 and 219,807.81 is: 329,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563.75 : 449,568.80 = 219,807.81 : x
  2. Step 2: Convert to fraction form
    299,563.75/449,568.80 = 219,807.81/x
  3. Step 3: Cross multiply
    299,563.75x = 449,568.80 × 219,807.81
  4. Step 4: Simplify right side
    299,563.75x = 98,818,733,097.57
  5. Step 5: Solve for x
    x = 98,818,733,097.57/299,563.75
  6. Step 6: Final answer
    x = 329,875.47

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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.