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Finding the Fourth Proportional to 421,997.78, 632,996.76 and 126,509.78

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Solution

The fourth proportional to 421,997.78, 632,996.76 and 126,509.78 is: 189,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,997.78 : 632,996.76 = 126,509.78 : x
  2. Step 2: Convert to fraction form
    421,997.78/632,996.76 = 126,509.78/x
  3. Step 3: Cross multiply
    421,997.78x = 632,996.76 × 126,509.78
  4. Step 4: Simplify right side
    421,997.78x = 80,080,280,848.31
  5. Step 5: Solve for x
    x = 80,080,280,848.31/421,997.78
  6. Step 6: Final answer
    x = 189,764.70

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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.