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Finding the Fourth Proportional to 379,469.64, 569,204.47 and 142,865.40

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Solution

The fourth proportional to 379,469.64, 569,204.47 and 142,865.40 is: 214,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,469.64 : 569,204.47 = 142,865.40 : x
  2. Step 2: Convert to fraction form
    379,469.64/569,204.47 = 142,865.40/x
  3. Step 3: Cross multiply
    379,469.64x = 569,204.47 × 142,865.40
  4. Step 4: Simplify right side
    379,469.64x = 81,319,625,797.82
  5. Step 5: Solve for x
    x = 81,319,625,797.82/379,469.64
  6. Step 6: Final answer
    x = 214,298.11

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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.