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Finding the Fourth Proportional to 408,965.31, 564,384.60 and 222,709.05

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Solution

The fourth proportional to 408,965.31, 564,384.60 and 222,709.05 is: 307,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,965.31 : 564,384.60 = 222,709.05 : x
  2. Step 2: Convert to fraction form
    408,965.31/564,384.60 = 222,709.05/x
  3. Step 3: Cross multiply
    408,965.31x = 564,384.60 × 222,709.05
  4. Step 4: Simplify right side
    408,965.31x = 125,693,558,100.63
  5. Step 5: Solve for x
    x = 125,693,558,100.63/408,965.31
  6. Step 6: Final answer
    x = 307,345.28

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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.