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Finding the Fourth Proportional to 393,492.82, 590,237.04 and 340,022.21

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Solution

The fourth proportional to 393,492.82, 590,237.04 and 340,022.21 is: 510,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,492.82 : 590,237.04 = 340,022.21 : x
  2. Step 2: Convert to fraction form
    393,492.82/590,237.04 = 340,022.21/x
  3. Step 3: Cross multiply
    393,492.82x = 590,237.04 × 340,022.21
  4. Step 4: Simplify right side
    393,492.82x = 200,693,702,764.66
  5. Step 5: Solve for x
    x = 200,693,702,764.66/393,492.82
  6. Step 6: Final answer
    x = 510,031.42

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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.