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Finding the Fourth Proportional to 379,874.88, 569,943.36 and 143,285.28

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Solution

The fourth proportional to 379,874.88, 569,943.36 and 143,285.28 is: 214,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,874.88 : 569,943.36 = 143,285.28 : x
  2. Step 2: Convert to fraction form
    379,874.88/569,943.36 = 143,285.28/x
  3. Step 3: Cross multiply
    379,874.88x = 569,943.36 × 143,285.28
  4. Step 4: Simplify right side
    379,874.88x = 81,664,493,921.74
  5. Step 5: Solve for x
    x = 81,664,493,921.74/379,874.88
  6. Step 6: Final answer
    x = 214,977.35

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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.