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Finding the Fourth Proportional to 399,144.53, 598,716.81 and 146,329.49

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Solution

The fourth proportional to 399,144.53, 598,716.81 and 146,329.49 is: 219,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,144.53 : 598,716.81 = 146,329.49 : x
  2. Step 2: Convert to fraction form
    399,144.53/598,716.81 = 146,329.49/x
  3. Step 3: Cross multiply
    399,144.53x = 598,716.81 × 146,329.49
  4. Step 4: Simplify right side
    399,144.53x = 87,609,922,468.14
  5. Step 5: Solve for x
    x = 87,609,922,468.14/399,144.53
  6. Step 6: Final answer
    x = 219,494.24

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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.