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Finding the Fourth Proportional to 342,107.20, 512,577.60 and 282,620.80

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Solution

The fourth proportional to 342,107.20, 512,577.60 and 282,620.80 is: 423,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,107.20 : 512,577.60 = 282,620.80 : x
  2. Step 2: Convert to fraction form
    342,107.20/512,577.60 = 282,620.80/x
  3. Step 3: Cross multiply
    342,107.20x = 512,577.60 × 282,620.80
  4. Step 4: Simplify right side
    342,107.20x = 144,865,091,374.08
  5. Step 5: Solve for x
    x = 144,865,091,374.08/342,107.20
  6. Step 6: Final answer
    x = 423,449.41

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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.