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Finding the Fourth Proportional to 411,615.42, 617,415.57 and 112,091.46

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Solution

The fourth proportional to 411,615.42, 617,415.57 and 112,091.46 is: 168,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,615.42 : 617,415.57 = 112,091.46 : x
  2. Step 2: Convert to fraction form
    411,615.42/617,415.57 = 112,091.46/x
  3. Step 3: Cross multiply
    411,615.42x = 617,415.57 × 112,091.46
  4. Step 4: Simplify right side
    411,615.42x = 69,207,012,668.03
  5. Step 5: Solve for x
    x = 69,207,012,668.03/411,615.42
  6. Step 6: Final answer
    x = 168,135.13

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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.