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Finding the Fourth Proportional to 434,532.60, 651,863.70 and 154,027.80

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Solution

The fourth proportional to 434,532.60, 651,863.70 and 154,027.80 is: 231,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,532.60 : 651,863.70 = 154,027.80 : x
  2. Step 2: Convert to fraction form
    434,532.60/651,863.70 = 154,027.80/x
  3. Step 3: Cross multiply
    434,532.60x = 651,863.70 × 154,027.80
  4. Step 4: Simplify right side
    434,532.60x = 100,405,131,610.86
  5. Step 5: Solve for x
    x = 100,405,131,610.86/434,532.60
  6. Step 6: Final answer
    x = 231,064.67

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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.