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Finding the Fourth Proportional to 398,425.94, 597,697.73 and 142,238.65

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Solution

The fourth proportional to 398,425.94, 597,697.73 and 142,238.65 is: 213,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,425.94 : 597,697.73 = 142,238.65 : x
  2. Step 2: Convert to fraction form
    398,425.94/597,697.73 = 142,238.65/x
  3. Step 3: Cross multiply
    398,425.94x = 597,697.73 × 142,238.65
  4. Step 4: Simplify right side
    398,425.94x = 85,015,718,223.26
  5. Step 5: Solve for x
    x = 85,015,718,223.26/398,425.94
  6. Step 6: Final answer
    x = 213,378.97

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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.