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Finding the Fourth Proportional to 472,978, 652,723.41 and 258,131.80

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Solution

The fourth proportional to 472,978, 652,723.41 and 258,131.80 is: 356,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,978 : 652,723.41 = 258,131.80 : x
  2. Step 2: Convert to fraction form
    472,978/652,723.41 = 258,131.80/x
  3. Step 3: Cross multiply
    472,978x = 652,723.41 × 258,131.80
  4. Step 4: Simplify right side
    472,978x = 168,488,668,725.44
  5. Step 5: Solve for x
    x = 168,488,668,725.44/472,978
  6. Step 6: Final answer
    x = 356,229.40

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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.