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Finding the Fourth Proportional to 337,492.20, 505,987.74 and 204,340.80

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Solution

The fourth proportional to 337,492.20, 505,987.74 and 204,340.80 is: 306,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,492.20 : 505,987.74 = 204,340.80 : x
  2. Step 2: Convert to fraction form
    337,492.20/505,987.74 = 204,340.80/x
  3. Step 3: Cross multiply
    337,492.20x = 505,987.74 × 204,340.80
  4. Step 4: Simplify right side
    337,492.20x = 103,393,939,581.79
  5. Step 5: Solve for x
    x = 103,393,939,581.79/337,492.20
  6. Step 6: Final answer
    x = 306,359.49

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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.