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Finding the Fourth Proportional to 610,137.92, 914,662.40 and 310,450.88

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Solution

The fourth proportional to 610,137.92, 914,662.40 and 310,450.88 is: 465,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,137.92 : 914,662.40 = 310,450.88 : x
  2. Step 2: Convert to fraction form
    610,137.92/914,662.40 = 310,450.88/x
  3. Step 3: Cross multiply
    610,137.92x = 914,662.40 × 310,450.88
  4. Step 4: Simplify right side
    610,137.92x = 283,957,746,982.91
  5. Step 5: Solve for x
    x = 283,957,746,982.91/610,137.92
  6. Step 6: Final answer
    x = 465,399.28

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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.