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Finding the Fourth Proportional to 780,901.92, 1,171,644.46 and 307,917

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Solution

The fourth proportional to 780,901.92, 1,171,644.46 and 307,917 is: 461,990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,901.92 : 1,171,644.46 = 307,917 : x
  2. Step 2: Convert to fraction form
    780,901.92/1,171,644.46 = 307,917/x
  3. Step 3: Cross multiply
    780,901.92x = 1,171,644.46 × 307,917
  4. Step 4: Simplify right side
    780,901.92x = 360,769,247,189.82
  5. Step 5: Solve for x
    x = 360,769,247,189.82/780,901.92
  6. Step 6: Final answer
    x = 461,990.47

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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.