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Finding the Fourth Proportional to 458,429.70, 687,644.55 and 419,031.30

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Solution

The fourth proportional to 458,429.70, 687,644.55 and 419,031.30 is: 628,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,429.70 : 687,644.55 = 419,031.30 : x
  2. Step 2: Convert to fraction form
    458,429.70/687,644.55 = 419,031.30/x
  3. Step 3: Cross multiply
    458,429.70x = 687,644.55 × 419,031.30
  4. Step 4: Simplify right side
    458,429.70x = 288,144,589,724.42
  5. Step 5: Solve for x
    x = 288,144,589,724.42/458,429.70
  6. Step 6: Final answer
    x = 628,546.95

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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.