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Finding the Fourth Proportional to 782,908.80, 1,174,401.60 and 409,660.80

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Solution

The fourth proportional to 782,908.80, 1,174,401.60 and 409,660.80 is: 614,511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,908.80 : 1,174,401.60 = 409,660.80 : x
  2. Step 2: Convert to fraction form
    782,908.80/1,174,401.60 = 409,660.80/x
  3. Step 3: Cross multiply
    782,908.80x = 1,174,401.60 × 409,660.80
  4. Step 4: Simplify right side
    782,908.80x = 481,106,298,977.28
  5. Step 5: Solve for x
    x = 481,106,298,977.28/782,908.80
  6. Step 6: Final answer
    x = 614,511.29

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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.