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Finding the Fourth Proportional to 384,751.28, 530,947.49 and 210,313.73

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Solution

The fourth proportional to 384,751.28, 530,947.49 and 210,313.73 is: 290,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,751.28 : 530,947.49 = 210,313.73 : x
  2. Step 2: Convert to fraction form
    384,751.28/530,947.49 = 210,313.73/x
  3. Step 3: Cross multiply
    384,751.28x = 530,947.49 × 210,313.73
  4. Step 4: Simplify right side
    384,751.28x = 111,665,548,909.19
  5. Step 5: Solve for x
    x = 111,665,548,909.19/384,751.28
  6. Step 6: Final answer
    x = 290,227.88

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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.