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Finding the Fourth Proportional to 411,491.90, 617,175.47 and 111,995.81

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Solution

The fourth proportional to 411,491.90, 617,175.47 and 111,995.81 is: 167,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,491.90 : 617,175.47 = 111,995.81 : x
  2. Step 2: Convert to fraction form
    411,491.90/617,175.47 = 111,995.81/x
  3. Step 3: Cross multiply
    411,491.90x = 617,175.47 × 111,995.81
  4. Step 4: Simplify right side
    411,491.90x = 69,121,068,497.71
  5. Step 5: Solve for x
    x = 69,121,068,497.71/411,491.90
  6. Step 6: Final answer
    x = 167,976.74

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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.