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Finding the Fourth Proportional to 379,719.12, 569,612.70 and 109,843.02

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Solution

The fourth proportional to 379,719.12, 569,612.70 and 109,843.02 is: 164,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,719.12 : 569,612.70 = 109,843.02 : x
  2. Step 2: Convert to fraction form
    379,719.12/569,612.70 = 109,843.02/x
  3. Step 3: Cross multiply
    379,719.12x = 569,612.70 × 109,843.02
  4. Step 4: Simplify right side
    379,719.12x = 62,567,979,198.35
  5. Step 5: Solve for x
    x = 62,567,979,198.35/379,719.12
  6. Step 6: Final answer
    x = 164,774.37

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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.