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Finding the Fourth Proportional to 647,414.20, 969,809.10 and 366,603.40

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Solution

The fourth proportional to 647,414.20, 969,809.10 and 366,603.40 is: 549,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,414.20 : 969,809.10 = 366,603.40 : x
  2. Step 2: Convert to fraction form
    647,414.20/969,809.10 = 366,603.40/x
  3. Step 3: Cross multiply
    647,414.20x = 969,809.10 × 366,603.40
  4. Step 4: Simplify right side
    647,414.20x = 355,535,313,410.94
  5. Step 5: Solve for x
    x = 355,535,313,410.94/647,414.20
  6. Step 6: Final answer
    x = 549,162.06

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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.