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Finding the Fourth Proportional to 456,725.20, 685,087.80 and 119,765.20

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Solution

The fourth proportional to 456,725.20, 685,087.80 and 119,765.20 is: 179,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,725.20 : 685,087.80 = 119,765.20 : x
  2. Step 2: Convert to fraction form
    456,725.20/685,087.80 = 119,765.20/x
  3. Step 3: Cross multiply
    456,725.20x = 685,087.80 × 119,765.20
  4. Step 4: Simplify right side
    456,725.20x = 82,049,677,384.56
  5. Step 5: Solve for x
    x = 82,049,677,384.56/456,725.20
  6. Step 6: Final answer
    x = 179,647.80

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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.