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Finding the Fourth Proportional to 408,090.80, 611,844.60 and 183,267.20

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Solution

The fourth proportional to 408,090.80, 611,844.60 and 183,267.20 is: 274,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,090.80 : 611,844.60 = 183,267.20 : x
  2. Step 2: Convert to fraction form
    408,090.80/611,844.60 = 183,267.20/x
  3. Step 3: Cross multiply
    408,090.80x = 611,844.60 × 183,267.20
  4. Step 4: Simplify right side
    408,090.80x = 112,131,046,677.12
  5. Step 5: Solve for x
    x = 112,131,046,677.12/408,090.80
  6. Step 6: Final answer
    x = 274,769.85

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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.