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Finding the Fourth Proportional to 286,156, 428,672.84 and 165,960.45

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Solution

The fourth proportional to 286,156, 428,672.84 and 165,960.45 is: 248,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,156 : 428,672.84 = 165,960.45 : x
  2. Step 2: Convert to fraction form
    286,156/428,672.84 = 165,960.45/x
  3. Step 3: Cross multiply
    286,156x = 428,672.84 × 165,960.45
  4. Step 4: Simplify right side
    286,156x = 71,142,737,429.18
  5. Step 5: Solve for x
    x = 71,142,737,429.18/286,156
  6. Step 6: Final answer
    x = 248,615.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.