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Finding the Fourth Proportional to 398,687.88, 598,031.82 and 273,649.80

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Solution

The fourth proportional to 398,687.88, 598,031.82 and 273,649.80 is: 410,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,687.88 : 598,031.82 = 273,649.80 : x
  2. Step 2: Convert to fraction form
    398,687.88/598,031.82 = 273,649.80/x
  3. Step 3: Cross multiply
    398,687.88x = 598,031.82 × 273,649.80
  4. Step 4: Simplify right side
    398,687.88x = 163,651,287,936.64
  5. Step 5: Solve for x
    x = 163,651,287,936.64/398,687.88
  6. Step 6: Final answer
    x = 410,474.70

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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.