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Finding the Fourth Proportional to 491,015.40, 736,479.90 and 135,997.80

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Solution

The fourth proportional to 491,015.40, 736,479.90 and 135,997.80 is: 203,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,015.40 : 736,479.90 = 135,997.80 : x
  2. Step 2: Convert to fraction form
    491,015.40/736,479.90 = 135,997.80/x
  3. Step 3: Cross multiply
    491,015.40x = 736,479.90 × 135,997.80
  4. Step 4: Simplify right side
    491,015.40x = 100,159,646,144.22
  5. Step 5: Solve for x
    x = 100,159,646,144.22/491,015.40
  6. Step 6: Final answer
    x = 203,984.73

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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.