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Finding the Fourth Proportional to 305,840.60, 458,833.80 and 147,939.20

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Solution

The fourth proportional to 305,840.60, 458,833.80 and 147,939.20 is: 221,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,840.60 : 458,833.80 = 147,939.20 : x
  2. Step 2: Convert to fraction form
    305,840.60/458,833.80 = 147,939.20/x
  3. Step 3: Cross multiply
    305,840.60x = 458,833.80 × 147,939.20
  4. Step 4: Simplify right side
    305,840.60x = 67,879,505,304.96
  5. Step 5: Solve for x
    x = 67,879,505,304.96/305,840.60
  6. Step 6: Final answer
    x = 221,944.06

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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.