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Finding the Fourth Proportional to 287,498, 430,676.56 and 135,486.92

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Solution

The fourth proportional to 287,498, 430,676.56 and 135,486.92 is: 202,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,498 : 430,676.56 = 135,486.92 : x
  2. Step 2: Convert to fraction form
    287,498/430,676.56 = 135,486.92/x
  3. Step 3: Cross multiply
    287,498x = 430,676.56 × 135,486.92
  4. Step 4: Simplify right side
    287,498x = 58,351,040,630.60
  5. Step 5: Solve for x
    x = 58,351,040,630.60/287,498
  6. Step 6: Final answer
    x = 202,961.55

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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.