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Finding the Fourth Proportional to 491,321.41, 736,991.22 and 154,355.74

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Solution

The fourth proportional to 491,321.41, 736,991.22 and 154,355.74 is: 231,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,321.41 : 736,991.22 = 154,355.74 : x
  2. Step 2: Convert to fraction form
    491,321.41/736,991.22 = 154,355.74/x
  3. Step 3: Cross multiply
    491,321.41x = 736,991.22 × 154,355.74
  4. Step 4: Simplify right side
    491,321.41x = 113,758,825,136.60
  5. Step 5: Solve for x
    x = 113,758,825,136.60/491,321.41
  6. Step 6: Final answer
    x = 231,536.47

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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.