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Finding the Fourth Proportional to 420,204, 579,716.22 and 258,778.80

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Solution

The fourth proportional to 420,204, 579,716.22 and 258,778.80 is: 357,012.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,204 : 579,716.22 = 258,778.80 : x
  2. Step 2: Convert to fraction form
    420,204/579,716.22 = 258,778.80/x
  3. Step 3: Cross multiply
    420,204x = 579,716.22 × 258,778.80
  4. Step 4: Simplify right side
    420,204x = 150,018,267,752.14
  5. Step 5: Solve for x
    x = 150,018,267,752.14/420,204
  6. Step 6: Final answer
    x = 357,012.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.