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Finding the Fourth Proportional to 462,815.47, 638,676.89 and 261,611.47

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Solution

The fourth proportional to 462,815.47, 638,676.89 and 261,611.47 is: 361,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,815.47 : 638,676.89 = 261,611.47 : x
  2. Step 2: Convert to fraction form
    462,815.47/638,676.89 = 261,611.47/x
  3. Step 3: Cross multiply
    462,815.47x = 638,676.89 × 261,611.47
  4. Step 4: Simplify right side
    462,815.47x = 167,085,197,143.18
  5. Step 5: Solve for x
    x = 167,085,197,143.18/462,815.47
  6. Step 6: Final answer
    x = 361,019.04

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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.