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Finding the Fourth Proportional to 411,711.85, 617,504.73 and 112,216.55

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Solution

The fourth proportional to 411,711.85, 617,504.73 and 112,216.55 is: 168,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,711.85 : 617,504.73 = 112,216.55 : x
  2. Step 2: Convert to fraction form
    411,711.85/617,504.73 = 112,216.55/x
  3. Step 3: Cross multiply
    411,711.85x = 617,504.73 × 112,216.55
  4. Step 4: Simplify right side
    411,711.85x = 69,294,250,409.28
  5. Step 5: Solve for x
    x = 69,294,250,409.28/411,711.85
  6. Step 6: Final answer
    x = 168,307.64

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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.