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Finding the Fourth Proportional to 288,579.36, 398,238.30 and 161,254.98

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Solution

The fourth proportional to 288,579.36, 398,238.30 and 161,254.98 is: 222,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,579.36 : 398,238.30 = 161,254.98 : x
  2. Step 2: Convert to fraction form
    288,579.36/398,238.30 = 161,254.98/x
  3. Step 3: Cross multiply
    288,579.36x = 398,238.30 × 161,254.98
  4. Step 4: Simplify right side
    288,579.36x = 64,217,909,101.73
  5. Step 5: Solve for x
    x = 64,217,909,101.73/288,579.36
  6. Step 6: Final answer
    x = 222,531.19

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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.