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Finding the Fourth Proportional to 411,930, 568,388.16 and 230,644.80

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Solution

The fourth proportional to 411,930, 568,388.16 and 230,644.80 is: 318,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,930 : 568,388.16 = 230,644.80 : x
  2. Step 2: Convert to fraction form
    411,930/568,388.16 = 230,644.80/x
  3. Step 3: Cross multiply
    411,930x = 568,388.16 × 230,644.80
  4. Step 4: Simplify right side
    411,930x = 131,095,773,485.57
  5. Step 5: Solve for x
    x = 131,095,773,485.57/411,930
  6. Step 6: Final answer
    x = 318,247.70

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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.