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Finding the Fourth Proportional to 442,709.63, 663,561.09 and 389,296.94

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Solution

The fourth proportional to 442,709.63, 663,561.09 and 389,296.94 is: 583,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,709.63 : 663,561.09 = 389,296.94 : x
  2. Step 2: Convert to fraction form
    442,709.63/663,561.09 = 389,296.94/x
  3. Step 3: Cross multiply
    442,709.63x = 663,561.09 × 389,296.94
  4. Step 4: Simplify right side
    442,709.63x = 258,322,297,427.35
  5. Step 5: Solve for x
    x = 258,322,297,427.35/442,709.63
  6. Step 6: Final answer
    x = 583,502.78

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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.