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Finding the Fourth Proportional to 484,771.62, 668,642.78 and 420,123.90

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Solution

The fourth proportional to 484,771.62, 668,642.78 and 420,123.90 is: 579,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,771.62 : 668,642.78 = 420,123.90 : x
  2. Step 2: Convert to fraction form
    484,771.62/668,642.78 = 420,123.90/x
  3. Step 3: Cross multiply
    484,771.62x = 668,642.78 × 420,123.90
  4. Step 4: Simplify right side
    484,771.62x = 280,912,812,440.44
  5. Step 5: Solve for x
    x = 280,912,812,440.44/484,771.62
  6. Step 6: Final answer
    x = 579,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.