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Finding the Fourth Proportional to 275,820, 380,636.64 and 153,323.88

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Solution

The fourth proportional to 275,820, 380,636.64 and 153,323.88 is: 211,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,820 : 380,636.64 = 153,323.88 : x
  2. Step 2: Convert to fraction form
    275,820/380,636.64 = 153,323.88/x
  3. Step 3: Cross multiply
    275,820x = 380,636.64 × 153,323.88
  4. Step 4: Simplify right side
    275,820x = 58,360,686,514.96
  5. Step 5: Solve for x
    x = 58,360,686,514.96/275,820
  6. Step 6: Final answer
    x = 211,589.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.