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Finding the Fourth Proportional to 411,423.80, 617,135.70 and 367,878.20

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Solution

The fourth proportional to 411,423.80, 617,135.70 and 367,878.20 is: 551,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,423.80 : 617,135.70 = 367,878.20 : x
  2. Step 2: Convert to fraction form
    411,423.80/617,135.70 = 367,878.20/x
  3. Step 3: Cross multiply
    411,423.80x = 617,135.70 × 367,878.20
  4. Step 4: Simplify right side
    411,423.80x = 227,030,770,471.74
  5. Step 5: Solve for x
    x = 227,030,770,471.74/411,423.80
  6. Step 6: Final answer
    x = 551,817.30

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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.