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Finding the Fourth Proportional to 374,495.28, 561,728.34 and 206,349

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Solution

The fourth proportional to 374,495.28, 561,728.34 and 206,349 is: 309,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,495.28 : 561,728.34 = 206,349 : x
  2. Step 2: Convert to fraction form
    374,495.28/561,728.34 = 206,349/x
  3. Step 3: Cross multiply
    374,495.28x = 561,728.34 × 206,349
  4. Step 4: Simplify right side
    374,495.28x = 115,912,081,230.66
  5. Step 5: Solve for x
    x = 115,912,081,230.66/374,495.28
  6. Step 6: Final answer
    x = 309,515.47

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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.