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Finding the Fourth Proportional to 468,435.33, 646,452.45 and 287,247.09

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Solution

The fourth proportional to 468,435.33, 646,452.45 and 287,247.09 is: 396,408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,435.33 : 646,452.45 = 287,247.09 : x
  2. Step 2: Convert to fraction form
    468,435.33/646,452.45 = 287,247.09/x
  3. Step 3: Cross multiply
    468,435.33x = 646,452.45 × 287,247.09
  4. Step 4: Simplify right side
    468,435.33x = 185,691,585,085.87
  5. Step 5: Solve for x
    x = 185,691,585,085.87/468,435.33
  6. Step 6: Final answer
    x = 396,408.16

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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.