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Finding the Fourth Proportional to 413,064.20, 620,057.10 and 385,992.20

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Solution

The fourth proportional to 413,064.20, 620,057.10 and 385,992.20 is: 579,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,064.20 : 620,057.10 = 385,992.20 : x
  2. Step 2: Convert to fraction form
    413,064.20/620,057.10 = 385,992.20/x
  3. Step 3: Cross multiply
    413,064.20x = 620,057.10 × 385,992.20
  4. Step 4: Simplify right side
    413,064.20x = 239,337,204,154.62
  5. Step 5: Solve for x
    x = 239,337,204,154.62/413,064.20
  6. Step 6: Final answer
    x = 579,418.90

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1.5x scale

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.