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Finding the Fourth Proportional to 385,209.99, 576,992.03 and 312,836.72

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Solution

The fourth proportional to 385,209.99, 576,992.03 and 312,836.72 is: 468,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,209.99 : 576,992.03 = 312,836.72 : x
  2. Step 2: Convert to fraction form
    385,209.99/576,992.03 = 312,836.72/x
  3. Step 3: Cross multiply
    385,209.99x = 576,992.03 × 312,836.72
  4. Step 4: Simplify right side
    385,209.99x = 180,504,289,682.20
  5. Step 5: Solve for x
    x = 180,504,289,682.20/385,209.99
  6. Step 6: Final answer
    x = 468,586.73

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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.