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Finding the Fourth Proportional to 305,521.11, 458,172.31 and 105,787.87

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Solution

The fourth proportional to 305,521.11, 458,172.31 and 105,787.87 is: 158,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,521.11 : 458,172.31 = 105,787.87 : x
  2. Step 2: Convert to fraction form
    305,521.11/458,172.31 = 105,787.87/x
  3. Step 3: Cross multiply
    305,521.11x = 458,172.31 × 105,787.87
  4. Step 4: Simplify right side
    305,521.11x = 48,469,072,767.88
  5. Step 5: Solve for x
    x = 48,469,072,767.88/305,521.11
  6. Step 6: Final answer
    x = 158,643.94

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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.