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Finding the Fourth Proportional to 498,282.37, 747,686 and 217,996.45

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Solution

The fourth proportional to 498,282.37, 747,686 and 217,996.45 is: 327,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,282.37 : 747,686 = 217,996.45 : x
  2. Step 2: Convert to fraction form
    498,282.37/747,686 = 217,996.45/x
  3. Step 3: Cross multiply
    498,282.37x = 747,686 × 217,996.45
  4. Step 4: Simplify right side
    498,282.37x = 162,992,893,714.70
  5. Step 5: Solve for x
    x = 162,992,893,714.70/498,282.37
  6. Step 6: Final answer
    x = 327,109.49

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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.