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Finding the Fourth Proportional to 427,690.80, 641,536.20 and 384,145.20

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Solution

The fourth proportional to 427,690.80, 641,536.20 and 384,145.20 is: 576,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,690.80 : 641,536.20 = 384,145.20 : x
  2. Step 2: Convert to fraction form
    427,690.80/641,536.20 = 384,145.20/x
  3. Step 3: Cross multiply
    427,690.80x = 641,536.20 × 384,145.20
  4. Step 4: Simplify right side
    427,690.80x = 246,443,051,856.24
  5. Step 5: Solve for x
    x = 246,443,051,856.24/427,690.80
  6. Step 6: Final answer
    x = 576,217.80

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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.