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Finding the Fourth Proportional to 410,908.22, 616,362.35 and 111,388.78

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Solution

The fourth proportional to 410,908.22, 616,362.35 and 111,388.78 is: 167,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,908.22 : 616,362.35 = 111,388.78 : x
  2. Step 2: Convert to fraction form
    410,908.22/616,362.35 = 111,388.78/x
  3. Step 3: Cross multiply
    410,908.22x = 616,362.35 × 111,388.78
  4. Step 4: Simplify right side
    410,908.22x = 68,655,850,417.94
  5. Step 5: Solve for x
    x = 68,655,850,417.94/410,908.22
  6. Step 6: Final answer
    x = 167,083.18

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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.