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Finding the Fourth Proportional to 455,015.60, 682,523.40 and 420,801.20

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Solution

The fourth proportional to 455,015.60, 682,523.40 and 420,801.20 is: 631,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,015.60 : 682,523.40 = 420,801.20 : x
  2. Step 2: Convert to fraction form
    455,015.60/682,523.40 = 420,801.20/x
  3. Step 3: Cross multiply
    455,015.60x = 682,523.40 × 420,801.20
  4. Step 4: Simplify right side
    455,015.60x = 287,206,665,748.08
  5. Step 5: Solve for x
    x = 287,206,665,748.08/455,015.60
  6. Step 6: Final answer
    x = 631,201.80

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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.