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Finding the Fourth Proportional to 428,856, 591,433.82 and 267,725.94

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Solution

The fourth proportional to 428,856, 591,433.82 and 267,725.94 is: 369,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,856 : 591,433.82 = 267,725.94 : x
  2. Step 2: Convert to fraction form
    428,856/591,433.82 = 267,725.94/x
  3. Step 3: Cross multiply
    428,856x = 591,433.82 × 267,725.94
  4. Step 4: Simplify right side
    428,856x = 158,342,175,407.29
  5. Step 5: Solve for x
    x = 158,342,175,407.29/428,856
  6. Step 6: Final answer
    x = 369,219.91

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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.