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Finding the Fourth Proportional to 398,649.44, 598,120 and 185,519.04

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Solution

The fourth proportional to 398,649.44, 598,120 and 185,519.04 is: 278,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,649.44 : 598,120 = 185,519.04 : x
  2. Step 2: Convert to fraction form
    398,649.44/598,120 = 185,519.04/x
  3. Step 3: Cross multiply
    398,649.44x = 598,120 × 185,519.04
  4. Step 4: Simplify right side
    398,649.44x = 110,962,648,204.80
  5. Step 5: Solve for x
    x = 110,962,648,204.80/398,649.44
  6. Step 6: Final answer
    x = 278,346.43

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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.