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Finding the Fourth Proportional to 347,420.44, 520,997.82 and 189,564.52

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Solution

The fourth proportional to 347,420.44, 520,997.82 and 189,564.52 is: 284,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,420.44 : 520,997.82 = 189,564.52 : x
  2. Step 2: Convert to fraction form
    347,420.44/520,997.82 = 189,564.52/x
  3. Step 3: Cross multiply
    347,420.44x = 520,997.82 × 189,564.52
  4. Step 4: Simplify right side
    347,420.44x = 98,762,701,669.35
  5. Step 5: Solve for x
    x = 98,762,701,669.35/347,420.44
  6. Step 6: Final answer
    x = 284,274.30

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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.