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Finding the Fourth Proportional to 465,825.80, 698,738.70 and 213,105.80

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Solution

The fourth proportional to 465,825.80, 698,738.70 and 213,105.80 is: 319,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,825.80 : 698,738.70 = 213,105.80 : x
  2. Step 2: Convert to fraction form
    465,825.80/698,738.70 = 213,105.80/x
  3. Step 3: Cross multiply
    465,825.80x = 698,738.70 × 213,105.80
  4. Step 4: Simplify right side
    465,825.80x = 148,905,269,654.46
  5. Step 5: Solve for x
    x = 148,905,269,654.46/465,825.80
  6. Step 6: Final answer
    x = 319,658.70

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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.