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Finding the Fourth Proportional to 1,424,604.93, 1,965,947.63 and 780,013.41

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Solution

The fourth proportional to 1,424,604.93, 1,965,947.63 and 780,013.41 is: 1,076,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,604.93 : 1,965,947.63 = 780,013.41 : x
  2. Step 2: Convert to fraction form
    1,424,604.93/1,965,947.63 = 780,013.41/x
  3. Step 3: Cross multiply
    1,424,604.93x = 1,965,947.63 × 780,013.41
  4. Step 4: Simplify right side
    1,424,604.93x = 1,533,465,510,857.65
  5. Step 5: Solve for x
    x = 1,533,465,510,857.65/1,424,604.93
  6. Step 6: Final answer
    x = 1,076,414.58

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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.