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Finding the Fourth Proportional to 305,508.78, 458,203.84 and 153,665.37

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Solution

The fourth proportional to 305,508.78, 458,203.84 and 153,665.37 is: 230,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,508.78 : 458,203.84 = 153,665.37 : x
  2. Step 2: Convert to fraction form
    305,508.78/458,203.84 = 153,665.37/x
  3. Step 3: Cross multiply
    305,508.78x = 458,203.84 × 153,665.37
  4. Step 4: Simplify right side
    305,508.78x = 70,410,062,224.86
  5. Step 5: Solve for x
    x = 70,410,062,224.86/305,508.78
  6. Step 6: Final answer
    x = 230,468.21

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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.