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Finding the Fourth Proportional to 411,722.20, 617,612.10 and 162,371.80

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Solution

The fourth proportional to 411,722.20, 617,612.10 and 162,371.80 is: 243,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,722.20 : 617,612.10 = 162,371.80 : x
  2. Step 2: Convert to fraction form
    411,722.20/617,612.10 = 162,371.80/x
  3. Step 3: Cross multiply
    411,722.20x = 617,612.10 × 162,371.80
  4. Step 4: Simplify right side
    411,722.20x = 100,282,788,378.78
  5. Step 5: Solve for x
    x = 100,282,788,378.78/411,722.20
  6. Step 6: Final answer
    x = 243,569.06

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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.