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Finding the Fourth Proportional to 310,286.78, 465,456.89 and 85,647.26

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Solution

The fourth proportional to 310,286.78, 465,456.89 and 85,647.26 is: 128,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286.78 : 465,456.89 = 85,647.26 : x
  2. Step 2: Convert to fraction form
    310,286.78/465,456.89 = 85,647.26/x
  3. Step 3: Cross multiply
    310,286.78x = 465,456.89 × 85,647.26
  4. Step 4: Simplify right side
    310,286.78x = 39,865,104,521.10
  5. Step 5: Solve for x
    x = 39,865,104,521.10/310,286.78
  6. Step 6: Final answer
    x = 128,478.26

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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.