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Finding the Fourth Proportional to 384,747, 530,940.96 and 214,982.52

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Solution

The fourth proportional to 384,747, 530,940.96 and 214,982.52 is: 296,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747 : 530,940.96 = 214,982.52 : x
  2. Step 2: Convert to fraction form
    384,747/530,940.96 = 214,982.52/x
  3. Step 3: Cross multiply
    384,747x = 530,940.96 × 214,982.52
  4. Step 4: Simplify right side
    384,747x = 114,143,025,552.02
  5. Step 5: Solve for x
    x = 114,143,025,552.02/384,747
  6. Step 6: Final answer
    x = 296,670.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.