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Finding the Fourth Proportional to 411,615.92, 617,416.32 and 112,091.96

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Solution

The fourth proportional to 411,615.92, 617,416.32 and 112,091.96 is: 168,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,615.92 : 617,416.32 = 112,091.96 : x
  2. Step 2: Convert to fraction form
    411,615.92/617,416.32 = 112,091.96/x
  3. Step 3: Cross multiply
    411,615.92x = 617,416.32 × 112,091.96
  4. Step 4: Simplify right side
    411,615.92x = 69,207,405,444.79
  5. Step 5: Solve for x
    x = 69,207,405,444.79/411,615.92
  6. Step 6: Final answer
    x = 168,135.88

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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.