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Finding the Fourth Proportional to 548,969.40, 823,454.10 and 381,007.80

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Solution

The fourth proportional to 548,969.40, 823,454.10 and 381,007.80 is: 571,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,969.40 : 823,454.10 = 381,007.80 : x
  2. Step 2: Convert to fraction form
    548,969.40/823,454.10 = 381,007.80/x
  3. Step 3: Cross multiply
    548,969.40x = 823,454.10 × 381,007.80
  4. Step 4: Simplify right side
    548,969.40x = 313,742,435,041.98
  5. Step 5: Solve for x
    x = 313,742,435,041.98/548,969.40
  6. Step 6: Final answer
    x = 571,511.70

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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.