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Finding the Fourth Proportional to 286,550.78, 395,422.71 and 159,222.02

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Solution

The fourth proportional to 286,550.78, 395,422.71 and 159,222.02 is: 219,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,550.78 : 395,422.71 = 159,222.02 : x
  2. Step 2: Convert to fraction form
    286,550.78/395,422.71 = 159,222.02/x
  3. Step 3: Cross multiply
    286,550.78x = 395,422.71 × 159,222.02
  4. Step 4: Simplify right side
    286,550.78x = 62,960,002,640.07
  5. Step 5: Solve for x
    x = 62,960,002,640.07/286,550.78
  6. Step 6: Final answer
    x = 219,716.74

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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.