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Finding the Fourth Proportional to 379,430.48, 569,227.80 and 201,911.42

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Solution

The fourth proportional to 379,430.48, 569,227.80 and 201,911.42 is: 302,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,430.48 : 569,227.80 = 201,911.42 : x
  2. Step 2: Convert to fraction form
    379,430.48/569,227.80 = 201,911.42/x
  3. Step 3: Cross multiply
    379,430.48x = 569,227.80 × 201,911.42
  4. Step 4: Simplify right side
    379,430.48x = 114,933,593,401.48
  5. Step 5: Solve for x
    x = 114,933,593,401.48/379,430.48
  6. Step 6: Final answer
    x = 302,910.81

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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.