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Finding the Fourth Proportional to 614,930.94, 921,960.82 and 273,186.67

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Solution

The fourth proportional to 614,930.94, 921,960.82 and 273,186.67 is: 409,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,930.94 : 921,960.82 = 273,186.67 : x
  2. Step 2: Convert to fraction form
    614,930.94/921,960.82 = 273,186.67/x
  3. Step 3: Cross multiply
    614,930.94x = 921,960.82 × 273,186.67
  4. Step 4: Simplify right side
    614,930.94x = 251,867,406,286.27
  5. Step 5: Solve for x
    x = 251,867,406,286.27/614,930.94
  6. Step 6: Final answer
    x = 409,586.49

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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.