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Finding the Fourth Proportional to 458,138.36, 687,042.91 and 158,537.59

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Solution

The fourth proportional to 458,138.36, 687,042.91 and 158,537.59 is: 237,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,138.36 : 687,042.91 = 158,537.59 : x
  2. Step 2: Convert to fraction form
    458,138.36/687,042.91 = 158,537.59/x
  3. Step 3: Cross multiply
    458,138.36x = 687,042.91 × 158,537.59
  4. Step 4: Simplify right side
    458,138.36x = 108,922,125,658.55
  5. Step 5: Solve for x
    x = 108,922,125,658.55/458,138.36
  6. Step 6: Final answer
    x = 237,749.41

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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.