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Finding the Fourth Proportional to 456,709.37, 685,129.68 and 141,190.88

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Solution

The fourth proportional to 456,709.37, 685,129.68 and 141,190.88 is: 211,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,709.37 : 685,129.68 = 141,190.88 : x
  2. Step 2: Convert to fraction form
    456,709.37/685,129.68 = 141,190.88/x
  3. Step 3: Cross multiply
    456,709.37x = 685,129.68 × 141,190.88
  4. Step 4: Simplify right side
    456,709.37x = 96,734,059,007.67
  5. Step 5: Solve for x
    x = 96,734,059,007.67/456,709.37
  6. Step 6: Final answer
    x = 211,806.60

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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.