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Finding the Fourth Proportional to 399,276.40, 598,511.40 and 199,289.20

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Solution

The fourth proportional to 399,276.40, 598,511.40 and 199,289.20 is: 298,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,276.40 : 598,511.40 = 199,289.20 : x
  2. Step 2: Convert to fraction form
    399,276.40/598,511.40 = 199,289.20/x
  3. Step 3: Cross multiply
    399,276.40x = 598,511.40 × 199,289.20
  4. Step 4: Simplify right side
    399,276.40x = 119,276,858,096.88
  5. Step 5: Solve for x
    x = 119,276,858,096.88/399,276.40
  6. Step 6: Final answer
    x = 298,732.55

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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.