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Finding the Fourth Proportional to 398,867, 597,964.92 and 185,526.56

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Solution

The fourth proportional to 398,867, 597,964.92 and 185,526.56 is: 278,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,867 : 597,964.92 = 185,526.56 : x
  2. Step 2: Convert to fraction form
    398,867/597,964.92 = 185,526.56/x
  3. Step 3: Cross multiply
    398,867x = 597,964.92 × 185,526.56
  4. Step 4: Simplify right side
    398,867x = 110,938,374,608.28
  5. Step 5: Solve for x
    x = 110,938,374,608.28/398,867
  6. Step 6: Final answer
    x = 278,133.75

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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.