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Finding the Fourth Proportional to 659,464.54, 989,195.28 and 433,188.48

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Solution

The fourth proportional to 659,464.54, 989,195.28 and 433,188.48 is: 649,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,464.54 : 989,195.28 = 433,188.48 : x
  2. Step 2: Convert to fraction form
    659,464.54/989,195.28 = 433,188.48/x
  3. Step 3: Cross multiply
    659,464.54x = 989,195.28 × 433,188.48
  4. Step 4: Simplify right side
    659,464.54x = 428,507,999,766.37
  5. Step 5: Solve for x
    x = 428,507,999,766.37/659,464.54
  6. Step 6: Final answer
    x = 649,781.71

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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.