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Finding the Fourth Proportional to 301,210.56, 451,740 and 123,766.56

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Solution

The fourth proportional to 301,210.56, 451,740 and 123,766.56 is: 185,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,210.56 : 451,740 = 123,766.56 : x
  2. Step 2: Convert to fraction form
    301,210.56/451,740 = 123,766.56/x
  3. Step 3: Cross multiply
    301,210.56x = 451,740 × 123,766.56
  4. Step 4: Simplify right side
    301,210.56x = 55,910,305,814.40
  5. Step 5: Solve for x
    x = 55,910,305,814.40/301,210.56
  6. Step 6: Final answer
    x = 185,618.68

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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.