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Finding the Fourth Proportional to 552,698.70, 829,922.85 and 419,729.10

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Solution

The fourth proportional to 552,698.70, 829,922.85 and 419,729.10 is: 630,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,698.70 : 829,922.85 = 419,729.10 : x
  2. Step 2: Convert to fraction form
    552,698.70/829,922.85 = 419,729.10/x
  3. Step 3: Cross multiply
    552,698.70x = 829,922.85 × 419,729.10
  4. Step 4: Simplify right side
    552,698.70x = 348,342,770,899.94
  5. Step 5: Solve for x
    x = 348,342,770,899.94/552,698.70
  6. Step 6: Final answer
    x = 630,257.99

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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.