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Finding the Fourth Proportional to 664,757.56, 997,137.96 and 265,430.80

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Solution

The fourth proportional to 664,757.56, 997,137.96 and 265,430.80 is: 398,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,757.56 : 997,137.96 = 265,430.80 : x
  2. Step 2: Convert to fraction form
    664,757.56/997,137.96 = 265,430.80/x
  3. Step 3: Cross multiply
    664,757.56x = 997,137.96 × 265,430.80
  4. Step 4: Simplify right side
    664,757.56x = 264,671,123,940.32
  5. Step 5: Solve for x
    x = 264,671,123,940.32/664,757.56
  6. Step 6: Final answer
    x = 398,146.84

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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.