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Finding the Fourth Proportional to 458,411.70, 687,617.55 and 419,013.30

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Solution

The fourth proportional to 458,411.70, 687,617.55 and 419,013.30 is: 628,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411.70 : 687,617.55 = 419,013.30 : x
  2. Step 2: Convert to fraction form
    458,411.70/687,617.55 = 419,013.30/x
  3. Step 3: Cross multiply
    458,411.70x = 687,617.55 × 419,013.30
  4. Step 4: Simplify right side
    458,411.70x = 288,120,898,763.42
  5. Step 5: Solve for x
    x = 288,120,898,763.42/458,411.70
  6. Step 6: Final answer
    x = 628,519.95

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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.