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Finding the Fourth Proportional to 547,651.20, 821,414.51 and 148,323.10

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Solution

The fourth proportional to 547,651.20, 821,414.51 and 148,323.10 is: 222,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,651.20 : 821,414.51 = 148,323.10 : x
  2. Step 2: Convert to fraction form
    547,651.20/821,414.51 = 148,323.10/x
  3. Step 3: Cross multiply
    547,651.20x = 821,414.51 × 148,323.10
  4. Step 4: Simplify right side
    547,651.20x = 121,834,746,508.18
  5. Step 5: Solve for x
    x = 121,834,746,508.18/547,651.20
  6. Step 6: Final answer
    x = 222,467.78

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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.