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Finding the Fourth Proportional to 399,251.54, 598,378.98 and 199,629.02

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Solution

The fourth proportional to 399,251.54, 598,378.98 and 199,629.02 is: 299,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,251.54 : 598,378.98 = 199,629.02 : x
  2. Step 2: Convert to fraction form
    399,251.54/598,378.98 = 199,629.02/x
  3. Step 3: Cross multiply
    399,251.54x = 598,378.98 × 199,629.02
  4. Step 4: Simplify right side
    399,251.54x = 119,453,809,366.00
  5. Step 5: Solve for x
    x = 119,453,809,366.00/399,251.54
  6. Step 6: Final answer
    x = 299,194.36

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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.