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Finding the Fourth Proportional to 421,929.94, 632,814.27 and 126,441.94

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Solution

The fourth proportional to 421,929.94, 632,814.27 and 126,441.94 is: 189,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,929.94 : 632,814.27 = 126,441.94 : x
  2. Step 2: Convert to fraction form
    421,929.94/632,814.27 = 126,441.94/x
  3. Step 3: Cross multiply
    421,929.94x = 632,814.27 × 126,441.94
  4. Step 4: Simplify right side
    421,929.94x = 80,014,263,958.48
  5. Step 5: Solve for x
    x = 80,014,263,958.48/421,929.94
  6. Step 6: Final answer
    x = 189,638.74

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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.