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Finding the Fourth Proportional to 398,857.50, 597,950.67 and 185,517.03

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Solution

The fourth proportional to 398,857.50, 597,950.67 and 185,517.03 is: 278,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,857.50 : 597,950.67 = 185,517.03 : x
  2. Step 2: Convert to fraction form
    398,857.50/597,950.67 = 185,517.03/x
  3. Step 3: Cross multiply
    398,857.50x = 597,950.67 × 185,517.03
  4. Step 4: Simplify right side
    398,857.50x = 110,930,035,322.91
  5. Step 5: Solve for x
    x = 110,930,035,322.91/398,857.50
  6. Step 6: Final answer
    x = 278,119.47

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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.