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Finding the Fourth Proportional to 299,827.20, 449,222.40 and 141,715.20

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Solution

The fourth proportional to 299,827.20, 449,222.40 and 141,715.20 is: 212,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,827.20 : 449,222.40 = 141,715.20 : x
  2. Step 2: Convert to fraction form
    299,827.20/449,222.40 = 141,715.20/x
  3. Step 3: Cross multiply
    299,827.20x = 449,222.40 × 141,715.20
  4. Step 4: Simplify right side
    299,827.20x = 63,661,642,260.48
  5. Step 5: Solve for x
    x = 63,661,642,260.48/299,827.20
  6. Step 6: Final answer
    x = 212,327.78

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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.