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Finding the Fourth Proportional to 561,380.09, 774,709.97 and 306,731.25

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Solution

The fourth proportional to 561,380.09, 774,709.97 and 306,731.25 is: 423,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,380.09 : 774,709.97 = 306,731.25 : x
  2. Step 2: Convert to fraction form
    561,380.09/774,709.97 = 306,731.25/x
  3. Step 3: Cross multiply
    561,380.09x = 774,709.97 × 306,731.25
  4. Step 4: Simplify right side
    561,380.09x = 237,627,755,951.91
  5. Step 5: Solve for x
    x = 237,627,755,951.91/561,380.09
  6. Step 6: Final answer
    x = 423,292.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.