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Finding the Fourth Proportional to 393,175.82, 589,649.63 and 153,236.21

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Solution

The fourth proportional to 393,175.82, 589,649.63 and 153,236.21 is: 229,809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,175.82 : 589,649.63 = 153,236.21 : x
  2. Step 2: Convert to fraction form
    393,175.82/589,649.63 = 153,236.21/x
  3. Step 3: Cross multiply
    393,175.82x = 589,649.63 × 153,236.21
  4. Step 4: Simplify right side
    393,175.82x = 90,355,670,814.67
  5. Step 5: Solve for x
    x = 90,355,670,814.67/393,175.82
  6. Step 6: Final answer
    x = 229,809.83

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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.