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Finding the Fourth Proportional to 420,697.97, 580,268.58 and 284,672.04

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Solution

The fourth proportional to 420,697.97, 580,268.58 and 284,672.04 is: 392,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,697.97 : 580,268.58 = 284,672.04 : x
  2. Step 2: Convert to fraction form
    420,697.97/580,268.58 = 284,672.04/x
  3. Step 3: Cross multiply
    420,697.97x = 580,268.58 × 284,672.04
  4. Step 4: Simplify right side
    420,697.97x = 165,186,237,172.98
  5. Step 5: Solve for x
    x = 165,186,237,172.98/420,697.97
  6. Step 6: Final answer
    x = 392,648.05

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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.