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Finding the Fourth Proportional to 512,970.66, 769,213.80 and 299,799.72

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Solution

The fourth proportional to 512,970.66, 769,213.80 and 299,799.72 is: 449,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,970.66 : 769,213.80 = 299,799.72 : x
  2. Step 2: Convert to fraction form
    512,970.66/769,213.80 = 299,799.72/x
  3. Step 3: Cross multiply
    512,970.66x = 769,213.80 × 299,799.72
  4. Step 4: Simplify right side
    512,970.66x = 230,610,081,860.14
  5. Step 5: Solve for x
    x = 230,610,081,860.14/512,970.66
  6. Step 6: Final answer
    x = 449,558.03

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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.