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Finding the Fourth Proportional to 414,600, 621,875.28 and 243,917.61

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Solution

The fourth proportional to 414,600, 621,875.28 and 243,917.61 is: 365,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,600 : 621,875.28 = 243,917.61 : x
  2. Step 2: Convert to fraction form
    414,600/621,875.28 = 243,917.61/x
  3. Step 3: Cross multiply
    414,600x = 621,875.28 × 243,917.61
  4. Step 4: Simplify right side
    414,600x = 151,686,332,015.68
  5. Step 5: Solve for x
    x = 151,686,332,015.68/414,600
  6. Step 6: Final answer
    x = 365,861.87

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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.