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Finding the Fourth Proportional to 354,179.33, 488,954.37 and 284,513.86

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Solution

The fourth proportional to 354,179.33, 488,954.37 and 284,513.86 is: 392,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,179.33 : 488,954.37 = 284,513.86 : x
  2. Step 2: Convert to fraction form
    354,179.33/488,954.37 = 284,513.86/x
  3. Step 3: Cross multiply
    354,179.33x = 488,954.37 × 284,513.86
  4. Step 4: Simplify right side
    354,179.33x = 139,114,295,172.57
  5. Step 5: Solve for x
    x = 139,114,295,172.57/354,179.33
  6. Step 6: Final answer
    x = 392,779.26

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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.