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Finding the Fourth Proportional to 411,489.58, 617,172 and 111,993.50

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Solution

The fourth proportional to 411,489.58, 617,172 and 111,993.50 is: 167,973.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.58 : 617,172 = 111,993.50 : x
  2. Step 2: Convert to fraction form
    411,489.58/617,172 = 111,993.50/x
  3. Step 3: Cross multiply
    411,489.58x = 617,172 × 111,993.50
  4. Step 4: Simplify right side
    411,489.58x = 69,119,252,382
  5. Step 5: Solve for x
    x = 69,119,252,382/411,489.58
  6. Step 6: Final answer
    x = 167,973.28

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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.