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Finding the Fourth Proportional to 431,917.18, 648,438.31 and 290,396.41

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Solution

The fourth proportional to 431,917.18, 648,438.31 and 290,396.41 is: 435,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,917.18 : 648,438.31 = 290,396.41 : x
  2. Step 2: Convert to fraction form
    431,917.18/648,438.31 = 290,396.41/x
  3. Step 3: Cross multiply
    431,917.18x = 648,438.31 × 290,396.41
  4. Step 4: Simplify right side
    431,917.18x = 188,304,156,072.37
  5. Step 5: Solve for x
    x = 188,304,156,072.37/431,917.18
  6. Step 6: Final answer
    x = 435,972.83

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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.