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Finding the Fourth Proportional to 305,509.46, 458,259.15 and 125,558.42

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Solution

The fourth proportional to 305,509.46, 458,259.15 and 125,558.42 is: 188,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,509.46 : 458,259.15 = 125,558.42 : x
  2. Step 2: Convert to fraction form
    305,509.46/458,259.15 = 125,558.42/x
  3. Step 3: Cross multiply
    305,509.46x = 458,259.15 × 125,558.42
  4. Step 4: Simplify right side
    305,509.46x = 57,538,294,824.54
  5. Step 5: Solve for x
    x = 57,538,294,824.54/305,509.46
  6. Step 6: Final answer
    x = 188,335.56

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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.