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Finding the Fourth Proportional to 609,200.37, 914,639.13 and 309,883.50

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Solution

The fourth proportional to 609,200.37, 914,639.13 and 309,883.50 is: 465,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,200.37 : 914,639.13 = 309,883.50 : x
  2. Step 2: Convert to fraction form
    609,200.37/914,639.13 = 309,883.50/x
  3. Step 3: Cross multiply
    609,200.37x = 914,639.13 × 309,883.50
  4. Step 4: Simplify right side
    609,200.37x = 283,431,574,841.36
  5. Step 5: Solve for x
    x = 283,431,574,841.36/609,200.37
  6. Step 6: Final answer
    x = 465,251.81

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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.