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Finding the Fourth Proportional to 286,476.80, 395,348.30 and 165,656

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Solution

The fourth proportional to 286,476.80, 395,348.30 and 165,656 is: 228,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,476.80 : 395,348.30 = 165,656 : x
  2. Step 2: Convert to fraction form
    286,476.80/395,348.30 = 165,656/x
  3. Step 3: Cross multiply
    286,476.80x = 395,348.30 × 165,656
  4. Step 4: Simplify right side
    286,476.80x = 65,491,817,984.80
  5. Step 5: Solve for x
    x = 65,491,817,984.80/286,476.80
  6. Step 6: Final answer
    x = 228,611.25

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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.