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Finding the Fourth Proportional to 630,915.40, 944,817.90 and 419,408.20

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Solution

The fourth proportional to 630,915.40, 944,817.90 and 419,408.20 is: 628,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,915.40 : 944,817.90 = 419,408.20 : x
  2. Step 2: Convert to fraction form
    630,915.40/944,817.90 = 419,408.20/x
  3. Step 3: Cross multiply
    630,915.40x = 944,817.90 × 419,408.20
  4. Step 4: Simplify right side
    630,915.40x = 396,264,374,766.78
  5. Step 5: Solve for x
    x = 396,264,374,766.78/630,915.40
  6. Step 6: Final answer
    x = 628,078.46

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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.