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Finding the Fourth Proportional to 439,597.76, 659,478.56 and 199,728.48

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Solution

The fourth proportional to 439,597.76, 659,478.56 and 199,728.48 is: 299,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,597.76 : 659,478.56 = 199,728.48 : x
  2. Step 2: Convert to fraction form
    439,597.76/659,478.56 = 199,728.48/x
  3. Step 3: Cross multiply
    439,597.76x = 659,478.56 × 199,728.48
  4. Step 4: Simplify right side
    439,597.76x = 131,716,650,381.39
  5. Step 5: Solve for x
    x = 131,716,650,381.39/439,597.76
  6. Step 6: Final answer
    x = 299,629.94

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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.