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Finding the Fourth Proportional to 305,491.50, 458,397.63 and 221,942.43

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Solution

The fourth proportional to 305,491.50, 458,397.63 and 221,942.43 is: 333,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,491.50 : 458,397.63 = 221,942.43 : x
  2. Step 2: Convert to fraction form
    305,491.50/458,397.63 = 221,942.43/x
  3. Step 3: Cross multiply
    305,491.50x = 458,397.63 × 221,942.43
  4. Step 4: Simplify right side
    305,491.50x = 101,737,883,908.44
  5. Step 5: Solve for x
    x = 101,737,883,908.44/305,491.50
  6. Step 6: Final answer
    x = 333,030.16

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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.