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Finding the Fourth Proportional to 298,087.68, 447,131.04 and 76,471.68

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Solution

The fourth proportional to 298,087.68, 447,131.04 and 76,471.68 is: 114,707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,087.68 : 447,131.04 = 76,471.68 : x
  2. Step 2: Convert to fraction form
    298,087.68/447,131.04 = 76,471.68/x
  3. Step 3: Cross multiply
    298,087.68x = 447,131.04 × 76,471.68
  4. Step 4: Simplify right side
    298,087.68x = 34,192,861,808.95
  5. Step 5: Solve for x
    x = 34,192,861,808.95/298,087.68
  6. Step 6: Final answer
    x = 114,707.40

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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.