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Finding the Fourth Proportional to 421,958.76, 632,938.12 and 126,470.76

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Solution

The fourth proportional to 421,958.76, 632,938.12 and 126,470.76 is: 189,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,958.76 : 632,938.12 = 126,470.76 : x
  2. Step 2: Convert to fraction form
    421,958.76/632,938.12 = 126,470.76/x
  3. Step 3: Cross multiply
    421,958.76x = 632,938.12 × 126,470.76
  4. Step 4: Simplify right side
    421,958.76x = 80,048,165,069.37
  5. Step 5: Solve for x
    x = 80,048,165,069.37/421,958.76
  6. Step 6: Final answer
    x = 189,706.13

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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.