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Finding the Fourth Proportional to 548,811.63, 822,364.04 and 380,660.49

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Solution

The fourth proportional to 548,811.63, 822,364.04 and 380,660.49 is: 570,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,811.63 : 822,364.04 = 380,660.49 : x
  2. Step 2: Convert to fraction form
    548,811.63/822,364.04 = 380,660.49/x
  3. Step 3: Cross multiply
    548,811.63x = 822,364.04 × 380,660.49
  4. Step 4: Simplify right side
    548,811.63x = 313,041,499,376.43
  5. Step 5: Solve for x
    x = 313,041,499,376.43/548,811.63
  6. Step 6: Final answer
    x = 570,398.81

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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.