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Finding the Fourth Proportional to 420,563.48, 630,199.12 and 285,451.84

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Solution

The fourth proportional to 420,563.48, 630,199.12 and 285,451.84 is: 427,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563.48 : 630,199.12 = 285,451.84 : x
  2. Step 2: Convert to fraction form
    420,563.48/630,199.12 = 285,451.84/x
  3. Step 3: Cross multiply
    420,563.48x = 630,199.12 × 285,451.84
  4. Step 4: Simplify right side
    420,563.48x = 179,891,498,370.38
  5. Step 5: Solve for x
    x = 179,891,498,370.38/420,563.48
  6. Step 6: Final answer
    x = 427,739.23

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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.