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Finding the Fourth Proportional to 312,910.56, 469,414.80 and 113,209.92

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Solution

The fourth proportional to 312,910.56, 469,414.80 and 113,209.92 is: 169,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,910.56 : 469,414.80 = 113,209.92 : x
  2. Step 2: Convert to fraction form
    312,910.56/469,414.80 = 113,209.92/x
  3. Step 3: Cross multiply
    312,910.56x = 469,414.80 × 113,209.92
  4. Step 4: Simplify right side
    312,910.56x = 53,142,411,954.82
  5. Step 5: Solve for x
    x = 53,142,411,954.82/312,910.56
  6. Step 6: Final answer
    x = 169,832.59

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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.