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Finding the Fourth Proportional to 505,761.86, 758,672 and 190,221.50

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Solution

The fourth proportional to 505,761.86, 758,672 and 190,221.50 is: 285,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,761.86 : 758,672 = 190,221.50 : x
  2. Step 2: Convert to fraction form
    505,761.86/758,672 = 190,221.50/x
  3. Step 3: Cross multiply
    505,761.86x = 758,672 × 190,221.50
  4. Step 4: Simplify right side
    505,761.86x = 144,315,725,848
  5. Step 5: Solve for x
    x = 144,315,725,848/505,761.86
  6. Step 6: Final answer
    x = 285,343.24

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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.