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Finding the Fourth Proportional to 408,846.60, 613,298.70 and 231,438.60

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Solution

The fourth proportional to 408,846.60, 613,298.70 and 231,438.60 is: 347,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.60 : 613,298.70 = 231,438.60 : x
  2. Step 2: Convert to fraction form
    408,846.60/613,298.70 = 231,438.60/x
  3. Step 3: Cross multiply
    408,846.60x = 613,298.70 × 231,438.60
  4. Step 4: Simplify right side
    408,846.60x = 141,940,992,509.82
  5. Step 5: Solve for x
    x = 141,940,992,509.82/408,846.60
  6. Step 6: Final answer
    x = 347,174.20

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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.