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Finding the Fourth Proportional to 379,469.80, 569,204.70 and 142,865.56

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Solution

The fourth proportional to 379,469.80, 569,204.70 and 142,865.56 is: 214,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,469.80 : 569,204.70 = 142,865.56 : x
  2. Step 2: Convert to fraction form
    379,469.80/569,204.70 = 142,865.56/x
  3. Step 3: Cross multiply
    379,469.80x = 569,204.70 × 142,865.56
  4. Step 4: Simplify right side
    379,469.80x = 81,319,748,220.13
  5. Step 5: Solve for x
    x = 81,319,748,220.13/379,469.80
  6. Step 6: Final answer
    x = 214,298.34

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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.