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Finding the Fourth Proportional to 298,097.12, 447,189.96 and 98,438.56

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Solution

The fourth proportional to 298,097.12, 447,189.96 and 98,438.56 is: 147,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,097.12 : 447,189.96 = 98,438.56 : x
  2. Step 2: Convert to fraction form
    298,097.12/447,189.96 = 98,438.56/x
  3. Step 3: Cross multiply
    298,097.12x = 447,189.96 × 98,438.56
  4. Step 4: Simplify right side
    298,097.12x = 44,020,735,708.86
  5. Step 5: Solve for x
    x = 44,020,735,708.86/298,097.12
  6. Step 6: Final answer
    x = 147,672.46

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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.