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Finding the Fourth Proportional to 548,276.90, 822,415.35 and 397,811.30

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Solution

The fourth proportional to 548,276.90, 822,415.35 and 397,811.30 is: 596,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,276.90 : 822,415.35 = 397,811.30 : x
  2. Step 2: Convert to fraction form
    548,276.90/822,415.35 = 397,811.30/x
  3. Step 3: Cross multiply
    548,276.90x = 822,415.35 × 397,811.30
  4. Step 4: Simplify right side
    548,276.90x = 327,166,119,523.46
  5. Step 5: Solve for x
    x = 327,166,119,523.46/548,276.90
  6. Step 6: Final answer
    x = 596,716.95

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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.