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Finding the Fourth Proportional to 286,774.66, 395,740.89 and 159,447.94

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Solution

The fourth proportional to 286,774.66, 395,740.89 and 159,447.94 is: 220,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,774.66 : 395,740.89 = 159,447.94 : x
  2. Step 2: Convert to fraction form
    286,774.66/395,740.89 = 159,447.94/x
  3. Step 3: Cross multiply
    286,774.66x = 395,740.89 × 159,447.94
  4. Step 4: Simplify right side
    286,774.66x = 63,100,069,684.27
  5. Step 5: Solve for x
    x = 63,100,069,684.27/286,774.66
  6. Step 6: Final answer
    x = 220,033.63

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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.