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Finding the Fourth Proportional to 415,228, 573,015.28 and 236,380

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Solution

The fourth proportional to 415,228, 573,015.28 and 236,380 is: 326,204.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,228 : 573,015.28 = 236,380 : x
  2. Step 2: Convert to fraction form
    415,228/573,015.28 = 236,380/x
  3. Step 3: Cross multiply
    415,228x = 573,015.28 × 236,380
  4. Step 4: Simplify right side
    415,228x = 135,449,351,886.40
  5. Step 5: Solve for x
    x = 135,449,351,886.40/415,228
  6. Step 6: Final answer
    x = 326,204.76

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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.