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Finding the Fourth Proportional to 495,659.36, 743,489.64 and 135,833.20

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Solution

The fourth proportional to 495,659.36, 743,489.64 and 135,833.20 is: 203,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,659.36 : 743,489.64 = 135,833.20 : x
  2. Step 2: Convert to fraction form
    495,659.36/743,489.64 = 135,833.20/x
  3. Step 3: Cross multiply
    495,659.36x = 743,489.64 × 135,833.20
  4. Step 4: Simplify right side
    495,659.36x = 100,990,576,968.05
  5. Step 5: Solve for x
    x = 100,990,576,968.05/495,659.36
  6. Step 6: Final answer
    x = 203,749.96

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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.