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Finding the Fourth Proportional to 420,367, 580,104.38 and 229,379.80

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Solution

The fourth proportional to 420,367, 580,104.38 and 229,379.80 is: 316,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,367 : 580,104.38 = 229,379.80 : x
  2. Step 2: Convert to fraction form
    420,367/580,104.38 = 229,379.80/x
  3. Step 3: Cross multiply
    420,367x = 580,104.38 × 229,379.80
  4. Step 4: Simplify right side
    420,367x = 133,064,226,663.52
  5. Step 5: Solve for x
    x = 133,064,226,663.52/420,367
  6. Step 6: Final answer
    x = 316,542.99

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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.