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Finding the Fourth Proportional to 388,107.72, 581,469 and 210,501.44

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Solution

The fourth proportional to 388,107.72, 581,469 and 210,501.44 is: 315,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,107.72 : 581,469 = 210,501.44 : x
  2. Step 2: Convert to fraction form
    388,107.72/581,469 = 210,501.44/x
  3. Step 3: Cross multiply
    388,107.72x = 581,469 × 210,501.44
  4. Step 4: Simplify right side
    388,107.72x = 122,400,061,815.36
  5. Step 5: Solve for x
    x = 122,400,061,815.36/388,107.72
  6. Step 6: Final answer
    x = 315,376.52

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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.