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Finding the Fourth Proportional to 298,293.52, 447,880.92 and 199,071.76

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Solution

The fourth proportional to 298,293.52, 447,880.92 and 199,071.76 is: 298,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,293.52 : 447,880.92 = 199,071.76 : x
  2. Step 2: Convert to fraction form
    298,293.52/447,880.92 = 199,071.76/x
  3. Step 3: Cross multiply
    298,293.52x = 447,880.92 × 199,071.76
  4. Step 4: Simplify right side
    298,293.52x = 89,160,443,014.82
  5. Step 5: Solve for x
    x = 89,160,443,014.82/298,293.52
  6. Step 6: Final answer
    x = 298,901.71

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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.