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Finding the Fourth Proportional to 352,649.64, 486,686.64 and 199,714.86

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Solution

The fourth proportional to 352,649.64, 486,686.64 and 199,714.86 is: 275,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,649.64 : 486,686.64 = 199,714.86 : x
  2. Step 2: Convert to fraction form
    352,649.64/486,686.64 = 199,714.86/x
  3. Step 3: Cross multiply
    352,649.64x = 486,686.64 × 199,714.86
  4. Step 4: Simplify right side
    352,649.64x = 97,198,554,171.47
  5. Step 5: Solve for x
    x = 97,198,554,171.47/352,649.64
  6. Step 6: Final answer
    x = 275,623.57

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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.