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Finding the Fourth Proportional to 1,412,971.06, 1,949,951.46 and 809,475.70

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Solution

The fourth proportional to 1,412,971.06, 1,949,951.46 and 809,475.70 is: 1,117,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,971.06 : 1,949,951.46 = 809,475.70 : x
  2. Step 2: Convert to fraction form
    1,412,971.06/1,949,951.46 = 809,475.70/x
  3. Step 3: Cross multiply
    1,412,971.06x = 1,949,951.46 × 809,475.70
  4. Step 4: Simplify right side
    1,412,971.06x = 1,578,438,323,049.52
  5. Step 5: Solve for x
    x = 1,578,438,323,049.52/1,412,971.06
  6. Step 6: Final answer
    x = 1,117,105.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.