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Finding the Fourth Proportional to 278,633.28, 384,714.24 and 171,347.52

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Solution

The fourth proportional to 278,633.28, 384,714.24 and 171,347.52 is: 236,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,633.28 : 384,714.24 = 171,347.52 : x
  2. Step 2: Convert to fraction form
    278,633.28/384,714.24 = 171,347.52/x
  3. Step 3: Cross multiply
    278,633.28x = 384,714.24 × 171,347.52
  4. Step 4: Simplify right side
    278,633.28x = 65,919,830,932.68
  5. Step 5: Solve for x
    x = 65,919,830,932.68/278,633.28
  6. Step 6: Final answer
    x = 236,582.76

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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.