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Finding the Fourth Proportional to 365,914.70, 547,986.20 and 253,279.34

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Solution

The fourth proportional to 365,914.70, 547,986.20 and 253,279.34 is: 379,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,914.70 : 547,986.20 = 253,279.34 : x
  2. Step 2: Convert to fraction form
    365,914.70/547,986.20 = 253,279.34/x
  3. Step 3: Cross multiply
    365,914.70x = 547,986.20 × 253,279.34
  4. Step 4: Simplify right side
    365,914.70x = 138,793,583,065.11
  5. Step 5: Solve for x
    x = 138,793,583,065.11/365,914.70
  6. Step 6: Final answer
    x = 379,305.84

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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.