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Finding the Fourth Proportional to 493,255.60, 680,806.49 and 289,372.03

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Solution

The fourth proportional to 493,255.60, 680,806.49 and 289,372.03 is: 399,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,255.60 : 680,806.49 = 289,372.03 : x
  2. Step 2: Convert to fraction form
    493,255.60/680,806.49 = 289,372.03/x
  3. Step 3: Cross multiply
    493,255.60x = 680,806.49 × 289,372.03
  4. Step 4: Simplify right side
    493,255.60x = 197,006,352,899.60
  5. Step 5: Solve for x
    x = 197,006,352,899.60/493,255.60
  6. Step 6: Final answer
    x = 399,400.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.