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Finding the Fourth Proportional to 305,868.86, 422,106.69 and 169,896.29

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Solution

The fourth proportional to 305,868.86, 422,106.69 and 169,896.29 is: 234,461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,868.86 : 422,106.69 = 169,896.29 : x
  2. Step 2: Convert to fraction form
    305,868.86/422,106.69 = 169,896.29/x
  3. Step 3: Cross multiply
    305,868.86x = 422,106.69 × 169,896.29
  4. Step 4: Simplify right side
    305,868.86x = 71,714,359,141.76
  5. Step 5: Solve for x
    x = 71,714,359,141.76/305,868.86
  6. Step 6: Final answer
    x = 234,461.13

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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.