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Finding the Fourth Proportional to 298,544.76, 447,842.43 and 85,313.88

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Solution

The fourth proportional to 298,544.76, 447,842.43 and 85,313.88 is: 127,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,544.76 : 447,842.43 = 85,313.88 : x
  2. Step 2: Convert to fraction form
    298,544.76/447,842.43 = 85,313.88/x
  3. Step 3: Cross multiply
    298,544.76x = 447,842.43 × 85,313.88
  4. Step 4: Simplify right side
    298,544.76x = 38,207,175,331.93
  5. Step 5: Solve for x
    x = 38,207,175,331.93/298,544.76
  6. Step 6: Final answer
    x = 127,978.05

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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.