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Finding the Fourth Proportional to 408,937.94, 613,462.80 and 142,658.54

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Solution

The fourth proportional to 408,937.94, 613,462.80 and 142,658.54 is: 214,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,937.94 : 613,462.80 = 142,658.54 : x
  2. Step 2: Convert to fraction form
    408,937.94/613,462.80 = 142,658.54/x
  3. Step 3: Cross multiply
    408,937.94x = 613,462.80 × 142,658.54
  4. Step 4: Simplify right side
    408,937.94x = 87,515,707,392.31
  5. Step 5: Solve for x
    x = 87,515,707,392.31/408,937.94
  6. Step 6: Final answer
    x = 214,007.31

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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.