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Finding the Fourth Proportional to 298,378.36, 447,460.94 and 98,661.88

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Solution

The fourth proportional to 298,378.36, 447,460.94 and 98,661.88 is: 147,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,378.36 : 447,460.94 = 98,661.88 : x
  2. Step 2: Convert to fraction form
    298,378.36/447,460.94 = 98,661.88/x
  3. Step 3: Cross multiply
    298,378.36x = 447,460.94 × 98,661.88
  4. Step 4: Simplify right side
    298,378.36x = 44,147,337,566.97
  5. Step 5: Solve for x
    x = 44,147,337,566.97/298,378.36
  6. Step 6: Final answer
    x = 147,957.57

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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.