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Finding the Fourth Proportional to 383,169.65, 528,790.43 and 213,403.78

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Solution

The fourth proportional to 383,169.65, 528,790.43 and 213,403.78 is: 294,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,169.65 : 528,790.43 = 213,403.78 : x
  2. Step 2: Convert to fraction form
    383,169.65/528,790.43 = 213,403.78/x
  3. Step 3: Cross multiply
    383,169.65x = 528,790.43 × 213,403.78
  4. Step 4: Simplify right side
    383,169.65x = 112,845,872,878.85
  5. Step 5: Solve for x
    x = 112,845,872,878.85/383,169.65
  6. Step 6: Final answer
    x = 294,506.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.