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Finding the Fourth Proportional to 399,635.54, 598,936.58 and 299,006.20

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Solution

The fourth proportional to 399,635.54, 598,936.58 and 299,006.20 is: 448,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,635.54 : 598,936.58 = 299,006.20 : x
  2. Step 2: Convert to fraction form
    399,635.54/598,936.58 = 299,006.20/x
  3. Step 3: Cross multiply
    399,635.54x = 598,936.58 × 299,006.20
  4. Step 4: Simplify right side
    399,635.54x = 179,085,750,826.80
  5. Step 5: Solve for x
    x = 179,085,750,826.80/399,635.54
  6. Step 6: Final answer
    x = 448,122.68

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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.