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Finding the Fourth Proportional to 298,510.46, 447,296.70 and 208,464.38

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Solution

The fourth proportional to 298,510.46, 447,296.70 and 208,464.38 is: 312,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,510.46 : 447,296.70 = 208,464.38 : x
  2. Step 2: Convert to fraction form
    298,510.46/447,296.70 = 208,464.38/x
  3. Step 3: Cross multiply
    298,510.46x = 447,296.70 × 208,464.38
  4. Step 4: Simplify right side
    298,510.46x = 93,245,429,241.55
  5. Step 5: Solve for x
    x = 93,245,429,241.55/298,510.46
  6. Step 6: Final answer
    x = 312,369.05

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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.