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Finding the Fourth Proportional to 305,865.90, 458,798.04 and 200,659.86

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Solution

The fourth proportional to 305,865.90, 458,798.04 and 200,659.86 is: 300,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,865.90 : 458,798.04 = 200,659.86 : x
  2. Step 2: Convert to fraction form
    305,865.90/458,798.04 = 200,659.86/x
  3. Step 3: Cross multiply
    305,865.90x = 458,798.04 × 200,659.86
  4. Step 4: Simplify right side
    305,865.90x = 92,062,350,474.67
  5. Step 5: Solve for x
    x = 92,062,350,474.67/305,865.90
  6. Step 6: Final answer
    x = 300,989.26

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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.