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Finding the Fourth Proportional to 442,711.13, 663,563.34 and 389,298.44

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Solution

The fourth proportional to 442,711.13, 663,563.34 and 389,298.44 is: 583,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,711.13 : 663,563.34 = 389,298.44 : x
  2. Step 2: Convert to fraction form
    442,711.13/663,563.34 = 389,298.44/x
  3. Step 3: Cross multiply
    442,711.13x = 663,563.34 × 389,298.44
  4. Step 4: Simplify right side
    442,711.13x = 258,324,173,103.19
  5. Step 5: Solve for x
    x = 258,324,173,103.19/442,711.13
  6. Step 6: Final answer
    x = 583,505.03

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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.