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Finding the Fourth Proportional to 305,321.82, 458,024.31 and 105,588.60

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Solution

The fourth proportional to 305,321.82, 458,024.31 and 105,588.60 is: 158,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.82 : 458,024.31 = 105,588.60 : x
  2. Step 2: Convert to fraction form
    305,321.82/458,024.31 = 105,588.60/x
  3. Step 3: Cross multiply
    305,321.82x = 458,024.31 × 105,588.60
  4. Step 4: Simplify right side
    305,321.82x = 48,362,145,658.87
  5. Step 5: Solve for x
    x = 48,362,145,658.87/305,321.82
  6. Step 6: Final answer
    x = 158,397.28

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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.