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Finding the Fourth Proportional to 409,411.76, 614,301.96 and 222,142.64

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Solution

The fourth proportional to 409,411.76, 614,301.96 and 222,142.64 is: 333,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,411.76 : 614,301.96 = 222,142.64 : x
  2. Step 2: Convert to fraction form
    409,411.76/614,301.96 = 222,142.64/x
  3. Step 3: Cross multiply
    409,411.76x = 614,301.96 × 222,142.64
  4. Step 4: Simplify right side
    409,411.76x = 136,462,659,151.57
  5. Step 5: Solve for x
    x = 136,462,659,151.57/409,411.76
  6. Step 6: Final answer
    x = 333,313.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.