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Finding the Fourth Proportional to 411,489.70, 617,106.42 and 145,187.82

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Solution

The fourth proportional to 411,489.70, 617,106.42 and 145,187.82 is: 217,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.70 : 617,106.42 = 145,187.82 : x
  2. Step 2: Convert to fraction form
    411,489.70/617,106.42 = 145,187.82/x
  3. Step 3: Cross multiply
    411,489.70x = 617,106.42 × 145,187.82
  4. Step 4: Simplify right side
    411,489.70x = 89,596,335,827.80
  5. Step 5: Solve for x
    x = 89,596,335,827.80/411,489.70
  6. Step 6: Final answer
    x = 217,736.52

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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.