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Finding the Fourth Proportional to 490,907.54, 677,158.44 and 299,588.78

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Solution

The fourth proportional to 490,907.54, 677,158.44 and 299,588.78 is: 413,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,907.54 : 677,158.44 = 299,588.78 : x
  2. Step 2: Convert to fraction form
    490,907.54/677,158.44 = 299,588.78/x
  3. Step 3: Cross multiply
    490,907.54x = 677,158.44 × 299,588.78
  4. Step 4: Simplify right side
    490,907.54x = 202,869,070,906.30
  5. Step 5: Solve for x
    x = 202,869,070,906.30/490,907.54
  6. Step 6: Final answer
    x = 413,253.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.