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Finding the Fourth Proportional to 519,978.69, 717,575.34 and 305,122.34

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Solution

The fourth proportional to 519,978.69, 717,575.34 and 305,122.34 is: 421,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,978.69 : 717,575.34 = 305,122.34 : x
  2. Step 2: Convert to fraction form
    519,978.69/717,575.34 = 305,122.34/x
  3. Step 3: Cross multiply
    519,978.69x = 717,575.34 × 305,122.34
  4. Step 4: Simplify right side
    519,978.69x = 218,948,263,279.22
  5. Step 5: Solve for x
    x = 218,948,263,279.22/519,978.69
  6. Step 6: Final answer
    x = 421,071.61

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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.