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Finding the Fourth Proportional to 394,639.14, 590,477.70 and 234,127.38

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Solution

The fourth proportional to 394,639.14, 590,477.70 and 234,127.38 is: 350,312.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,639.14 : 590,477.70 = 234,127.38 : x
  2. Step 2: Convert to fraction form
    394,639.14/590,477.70 = 234,127.38/x
  3. Step 3: Cross multiply
    394,639.14x = 590,477.70 × 234,127.38
  4. Step 4: Simplify right side
    394,639.14x = 138,246,996,849.43
  5. Step 5: Solve for x
    x = 138,246,996,849.43/394,639.14
  6. Step 6: Final answer
    x = 350,312.43

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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.