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Finding the Fourth Proportional to 305,614.88, 458,318.48 and 105,888.64

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Solution

The fourth proportional to 305,614.88, 458,318.48 and 105,888.64 is: 158,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,614.88 : 458,318.48 = 105,888.64 : x
  2. Step 2: Convert to fraction form
    305,614.88/458,318.48 = 105,888.64/x
  3. Step 3: Cross multiply
    305,614.88x = 458,318.48 × 105,888.64
  4. Step 4: Simplify right side
    305,614.88x = 48,530,720,534.07
  5. Step 5: Solve for x
    x = 48,530,720,534.07/305,614.88
  6. Step 6: Final answer
    x = 158,796.98

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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.