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Finding the Fourth Proportional to 286,732.26, 395,714.46 and 159,419.70

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Solution

The fourth proportional to 286,732.26, 395,714.46 and 159,419.70 is: 220,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,732.26 : 395,714.46 = 159,419.70 : x
  2. Step 2: Convert to fraction form
    286,732.26/395,714.46 = 159,419.70/x
  3. Step 3: Cross multiply
    286,732.26x = 395,714.46 × 159,419.70
  4. Step 4: Simplify right side
    286,732.26x = 63,084,680,498.86
  5. Step 5: Solve for x
    x = 63,084,680,498.86/286,732.26
  6. Step 6: Final answer
    x = 220,012.50

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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.