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Finding the Fourth Proportional to 253,821.60, 380,853.90 and 169,622.10

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Solution

The fourth proportional to 253,821.60, 380,853.90 and 169,622.10 is: 254,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,821.60 : 380,853.90 = 169,622.10 : x
  2. Step 2: Convert to fraction form
    253,821.60/380,853.90 = 169,622.10/x
  3. Step 3: Cross multiply
    253,821.60x = 380,853.90 × 169,622.10
  4. Step 4: Simplify right side
    253,821.60x = 64,601,238,311.19
  5. Step 5: Solve for x
    x = 64,601,238,311.19/253,821.60
  6. Step 6: Final answer
    x = 254,514.35

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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.