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Finding the Fourth Proportional to 433,380.09, 649,643.67 and 253,236.90

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Solution

The fourth proportional to 433,380.09, 649,643.67 and 253,236.90 is: 379,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,380.09 : 649,643.67 = 253,236.90 : x
  2. Step 2: Convert to fraction form
    433,380.09/649,643.67 = 253,236.90/x
  3. Step 3: Cross multiply
    433,380.09x = 649,643.67 × 253,236.90
  4. Step 4: Simplify right side
    433,380.09x = 164,513,752,481.23
  5. Step 5: Solve for x
    x = 164,513,752,481.23/433,380.09
  6. Step 6: Final answer
    x = 379,606.16

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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.