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Finding the Fourth Proportional to 380,143.20, 569,523.60 and 309,640.80

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Solution

The fourth proportional to 380,143.20, 569,523.60 and 309,640.80 is: 463,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,143.20 : 569,523.60 = 309,640.80 : x
  2. Step 2: Convert to fraction form
    380,143.20/569,523.60 = 309,640.80/x
  3. Step 3: Cross multiply
    380,143.20x = 569,523.60 × 309,640.80
  4. Step 4: Simplify right side
    380,143.20x = 176,347,743,122.88
  5. Step 5: Solve for x
    x = 176,347,743,122.88/380,143.20
  6. Step 6: Final answer
    x = 463,898.19

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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.