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Finding the Fourth Proportional to 379,469.30, 569,203.95 and 142,865.06

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Solution

The fourth proportional to 379,469.30, 569,203.95 and 142,865.06 is: 214,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,469.30 : 569,203.95 = 142,865.06 : x
  2. Step 2: Convert to fraction form
    379,469.30/569,203.95 = 142,865.06/x
  3. Step 3: Cross multiply
    379,469.30x = 569,203.95 × 142,865.06
  4. Step 4: Simplify right side
    379,469.30x = 81,319,356,468.99
  5. Step 5: Solve for x
    x = 81,319,356,468.99/379,469.30
  6. Step 6: Final answer
    x = 214,297.59

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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.