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Finding the Fourth Proportional to 548,049.80, 820,908.30 and 454,737.80

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Solution

The fourth proportional to 548,049.80, 820,908.30 and 454,737.80 is: 681,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,049.80 : 820,908.30 = 454,737.80 : x
  2. Step 2: Convert to fraction form
    548,049.80/820,908.30 = 454,737.80/x
  3. Step 3: Cross multiply
    548,049.80x = 820,908.30 × 454,737.80
  4. Step 4: Simplify right side
    548,049.80x = 373,298,034,343.74
  5. Step 5: Solve for x
    x = 373,298,034,343.74/548,049.80
  6. Step 6: Final answer
    x = 681,138.89

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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.