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Finding the Fourth Proportional to 412,832, 618,729.92 and 223,284.80

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Solution

The fourth proportional to 412,832, 618,729.92 and 223,284.80 is: 334,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,832 : 618,729.92 = 223,284.80 : x
  2. Step 2: Convert to fraction form
    412,832/618,729.92 = 223,284.80/x
  3. Step 3: Cross multiply
    412,832x = 618,729.92 × 223,284.80
  4. Step 4: Simplify right side
    412,832x = 138,152,986,441.22
  5. Step 5: Solve for x
    x = 138,152,986,441.22/412,832
  6. Step 6: Final answer
    x = 334,646.99

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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.