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Finding the Fourth Proportional to 609,814.76, 914,867.48 and 210,459

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Solution

The fourth proportional to 609,814.76, 914,867.48 and 210,459 is: 315,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,814.76 : 914,867.48 = 210,459 : x
  2. Step 2: Convert to fraction form
    609,814.76/914,867.48 = 210,459/x
  3. Step 3: Cross multiply
    609,814.76x = 914,867.48 × 210,459
  4. Step 4: Simplify right side
    609,814.76x = 192,542,093,921.03
  5. Step 5: Solve for x
    x = 192,542,093,921.03/609,814.76
  6. Step 6: Final answer
    x = 315,738.66

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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.