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Finding the Fourth Proportional to 410,321.16, 616,564.17 and 220,921.56

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Solution

The fourth proportional to 410,321.16, 616,564.17 and 220,921.56 is: 331,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,321.16 : 616,564.17 = 220,921.56 : x
  2. Step 2: Convert to fraction form
    410,321.16/616,564.17 = 220,921.56/x
  3. Step 3: Cross multiply
    410,321.16x = 616,564.17 × 220,921.56
  4. Step 4: Simplify right side
    410,321.16x = 136,212,318,276.51
  5. Step 5: Solve for x
    x = 136,212,318,276.51/410,321.16
  6. Step 6: Final answer
    x = 331,965.13

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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.