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Finding the Fourth Proportional to 659,414.33, 989,110.76 and 210,129.14

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Solution

The fourth proportional to 659,414.33, 989,110.76 and 210,129.14 is: 315,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,414.33 : 989,110.76 = 210,129.14 : x
  2. Step 2: Convert to fraction form
    659,414.33/989,110.76 = 210,129.14/x
  3. Step 3: Cross multiply
    659,414.33x = 989,110.76 × 210,129.14
  4. Step 4: Simplify right side
    659,414.33x = 207,840,987,367.35
  5. Step 5: Solve for x
    x = 207,840,987,367.35/659,414.33
  6. Step 6: Final answer
    x = 315,190.28

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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.