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Finding the Fourth Proportional to 384,744.09, 530,935.92 and 214,978.17

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Solution

The fourth proportional to 384,744.09, 530,935.92 and 214,978.17 is: 296,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.09 : 530,935.92 = 214,978.17 : x
  2. Step 2: Convert to fraction form
    384,744.09/530,935.92 = 214,978.17/x
  3. Step 3: Cross multiply
    384,744.09x = 530,935.92 × 214,978.17
  4. Step 4: Simplify right side
    384,744.09x = 114,139,632,468.87
  5. Step 5: Solve for x
    x = 114,139,632,468.87/384,744.09
  6. Step 6: Final answer
    x = 296,663.77

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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.