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Finding the Fourth Proportional to 384,774.85, 576,658.95 and 206,898.85

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Solution

The fourth proportional to 384,774.85, 576,658.95 and 206,898.85 is: 310,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,774.85 : 576,658.95 = 206,898.85 : x
  2. Step 2: Convert to fraction form
    384,774.85/576,658.95 = 206,898.85/x
  3. Step 3: Cross multiply
    384,774.85x = 576,658.95 × 206,898.85
  4. Step 4: Simplify right side
    384,774.85x = 119,310,073,597.21
  5. Step 5: Solve for x
    x = 119,310,073,597.21/384,774.85
  6. Step 6: Final answer
    x = 310,077.63

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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.