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Finding the Fourth Proportional to 217,427.20, 303,776 and 217,427.20

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Solution

The fourth proportional to 217,427.20, 303,776 and 217,427.20 is: 303,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,427.20 : 303,776 = 217,427.20 : x
  2. Step 2: Convert to fraction form
    217,427.20/303,776 = 217,427.20/x
  3. Step 3: Cross multiply
    217,427.20x = 303,776 × 217,427.20
  4. Step 4: Simplify right side
    217,427.20x = 66,049,165,107.20
  5. Step 5: Solve for x
    x = 66,049,165,107.20/217,427.20
  6. Step 6: Final answer
    x = 303,776

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.