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Finding the Fourth Proportional to 411,753.40, 617,630.10 and 407,816.80

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Solution

The fourth proportional to 411,753.40, 617,630.10 and 407,816.80 is: 611,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,753.40 : 617,630.10 = 407,816.80 : x
  2. Step 2: Convert to fraction form
    411,753.40/617,630.10 = 407,816.80/x
  3. Step 3: Cross multiply
    411,753.40x = 617,630.10 × 407,816.80
  4. Step 4: Simplify right side
    411,753.40x = 251,879,930,965.68
  5. Step 5: Solve for x
    x = 251,879,930,965.68/411,753.40
  6. Step 6: Final answer
    x = 611,725.20

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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.