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Finding the Fourth Proportional to 305,514.78, 458,212.83 and 153,671.37

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Solution

The fourth proportional to 305,514.78, 458,212.83 and 153,671.37 is: 230,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,514.78 : 458,212.83 = 153,671.37 : x
  2. Step 2: Convert to fraction form
    305,514.78/458,212.83 = 153,671.37/x
  3. Step 3: Cross multiply
    305,514.78x = 458,212.83 × 153,671.37
  4. Step 4: Simplify right side
    305,514.78x = 70,414,193,337.68
  5. Step 5: Solve for x
    x = 70,414,193,337.68/305,514.78
  6. Step 6: Final answer
    x = 230,477.21

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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.