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Finding the Fourth Proportional to 1,300,619.96, 1,947,042.99 and 786,729.90

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Solution

The fourth proportional to 1,300,619.96, 1,947,042.99 and 786,729.90 is: 1,177,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,619.96 : 1,947,042.99 = 786,729.90 : x
  2. Step 2: Convert to fraction form
    1,300,619.96/1,947,042.99 = 786,729.90/x
  3. Step 3: Cross multiply
    1,300,619.96x = 1,947,042.99 × 786,729.90
  4. Step 4: Simplify right side
    1,300,619.96x = 1,531,796,936,818.40
  5. Step 5: Solve for x
    x = 1,531,796,936,818.40/1,300,619.96
  6. Step 6: Final answer
    x = 1,177,743.68

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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.