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Finding the Fourth Proportional to 393,063.81, 589,175.29 and 203,333.14

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Solution

The fourth proportional to 393,063.81, 589,175.29 and 203,333.14 is: 304,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,063.81 : 589,175.29 = 203,333.14 : x
  2. Step 2: Convert to fraction form
    393,063.81/589,175.29 = 203,333.14/x
  3. Step 3: Cross multiply
    393,063.81x = 589,175.29 × 203,333.14
  4. Step 4: Simplify right side
    393,063.81x = 119,798,859,974.51
  5. Step 5: Solve for x
    x = 119,798,859,974.51/393,063.81
  6. Step 6: Final answer
    x = 304,782.21

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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.